2512710695040 has 1024 divisors, whose sum is σ = 10006875648000. Its totient is φ = 522194190336.

The previous prime is 2512710695017. The next prime is 2512710695083. The reversal of 2512710695040 is 405960172152.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2512710694983 and 2512710695001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3812914231 + ... + 3812914889.

It is an arithmetic number, because the mean of its divisors is an integer number (9772339500).

Almost surely, 2^{2512710695040} is an apocalyptic number.

2512710695040 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 2512710695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003437824000).

2512710695040 is an abundant number, since it is smaller than the sum of its proper divisors (7494164952960).

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

2512710695040 is a wasteful number, since it uses less digits than its factorization.

2512710695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 2512710695040 in words is "two trillion, five hundred twelve billion, seven hundred ten million, six hundred ninety-five thousand, forty".