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2615242040 = 2352914915131
BaseRepresentation
bin1001101111100001…
…0110110100111000
320202021001001122022
42123320112310320
520324000221130
61111301414012
7121544122235
oct23370266470
96667031568
102615242040
111122266064
1260ba0a308
13328a7b7c8
141ab48c78c
151048e17e5
hex9be16d38

2615242040 has 64 divisors (see below), whose sum is σ = 6128460000. Its totient is φ = 1003179520.

The previous prime is 2615242033. The next prime is 2615242067. The reversal of 2615242040 is 402425162.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165275 + ... + 180405.

Almost surely, 22615242040 is an apocalyptic number.

2615242040 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 2615242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064230000).

2615242040 is an abundant number, since it is smaller than the sum of its proper divisors (3513217960).

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

2615242040 is a wasteful number, since it uses less digits than its factorization.

2615242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15320 (or 15316 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2615242040 is about 51139.4372280337. The cubic root of 2615242040 is about 1377.7506660079.

The spelling of 2615242040 in words is "two billion, six hundred fifteen million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 149 232 290 298 580 596 745 1160 1192 1490 2980 4321 5960 8642 15131 17284 21605 30262 34568 43210 60524 75655 86420 121048 151310 172840 302620 438799 605240 877598 1755196 2193995 2254519 3510392 4387990 4509038 8775980 9018076 11272595 17551960 18036152 22545190 45090380 65381051 90180760 130762102 261524204 326905255 523048408 653810510 1307621020 2615242040