2815626240 has 792 divisors, whose sum is σ = 12013269840. Its totient is φ = 606928896.

The previous prime is 2815626223. The next prime is 2815626263. The reversal of 2815626240 is 426265182.

It is a happy number.

2815626240 is a `hidden beast` number, since 2 + 8 + 1 + 5 + 626 + 24 + 0 = 666.

It is a super-2 number, since 2×2815626240² = 15855502246753075200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2815626195 and 2815626204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65479659 + ... + 65479701.

It is an arithmetic number, because the mean of its divisors is an integer number (15168270).

Almost surely, 2^2815626240 is an apocalyptic number.

2815626240 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 2815626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006634920).

2815626240 is an abundant number, since it is smaller than the sum of its proper divisors (9197643600).

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

2815626240 is a wasteful number, since it uses less digits than its factorization.

2815626240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2815626240 is about 53062.4748763191. The cubic root of 2815626240 is about 1412.0768548986.

The spelling of 2815626240 in words is "two billion, eight hundred fifteen million, six hundred twenty-six thousand, two hundred forty".