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2669586240 = 26356174507
BaseRepresentation
bin1001111100011110…
…1010011101000000
320220001022000212110
42133013222131000
520431403224430
61120522255320
7123104052156
oct23707523500
96801260773
102669586240
11114aa03722
12626057540
133370c8339
141b47973d6
151095787b0
hex9f1ea740

2669586240 has 112 divisors (see below), whose sum is σ = 8491557312. Its totient is φ = 710578176.

The previous prime is 2669586233. The next prime is 2669586281. The reversal of 2669586240 is 426859662.

It is a happy number.

2669586240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2669586240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590067 + ... + 594573.

It is an arithmetic number, because the mean of its divisors is an integer number (75817476).

Almost surely, 22669586240 is an apocalyptic number.

2669586240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2669586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245778656).

2669586240 is an abundant number, since it is smaller than the sum of its proper divisors (5821971072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2669586240 is a wasteful number, since it uses less digits than its factorization.

2669586240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 2669586240 is about 51668.0388634986. The cubic root of 2669586240 is about 1387.2284438931.

The spelling of 2669586240 in words is "two billion, six hundred sixty-nine million, five hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 617 960 1234 1851 2468 3085 3702 4507 4936 6170 7404 9014 9255 9872 12340 13521 14808 18028 18510 19744 22535 24680 27042 29616 36056 37020 39488 45070 49360 54084 59232 67605 72112 74040 90140 98720 108168 118464 135210 144224 148080 180280 197440 216336 270420 288448 296160 360560 432672 540840 592320 721120 865344 1081680 1442240 2163360 2780819 4326720 5561638 8342457 11123276 13904095 16684914 22246552 27808190 33369828 41712285 44493104 55616380 66739656 83424570 88986208 111232760 133479312 166849140 177972416 222465520 266958624 333698280 444931040 533917248 667396560 889862080 1334793120 2669586240