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2690634240 = 2933576783
BaseRepresentation
bin1010000001011111…
…1101001000000000
320221111220101022000
42200113331020000
521002300243430
61122553344000
7123451004460
oct24027751000
96844811260
102690634240
11116087a368
12631108000
1333b587788
141b74b5ba0
1510b334e60
hexa05fd200

2690634240 has 640 divisors, whose sum is σ = 11219281920. Its totient is φ = 598523904.

The previous prime is 2690634223. The next prime is 2690634241. The reversal of 2690634240 is 424360962.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×26906342402 = 14479025226920755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 2690634195 and 2690634204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2690634241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32417239 + ... + 32417321.

It is an arithmetic number, because the mean of its divisors is an integer number (17530128).

Almost surely, 22690634240 is an apocalyptic number.

2690634240 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 2690634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609640960).

2690634240 is an abundant number, since it is smaller than the sum of its proper divisors (8528647680).

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

2690634240 is an equidigital number, since it uses as much as digits as its factorization.

2690634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2690634240 is about 51871.3238697452. The cubic root of 2690634240 is about 1390.8647104780.

The spelling of 2690634240 in words is "two billion, six hundred ninety million, six hundred thirty-four thousand, two hundred forty".