2512709640 has 512 divisors, whose sum is σ = 10101888000. Its totient is φ = 543449088.

The previous prime is 2512709623. The next prime is 2512709699. The reversal of 2512709640 is 469072152.

2512709640 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 7 + 0 + 9 + 640 = 666.

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 = 2512709595 and 2512709604.

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, 16004442 + ... + 16004598.

It is an arithmetic number, because the mean of its divisors is an integer number (19730250).

Almost surely, 2^2512709640 is an apocalyptic number.

2512709640 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 2512709640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050944000).

2512709640 is an abundant number, since it is smaller than the sum of its proper divisors (7589178360).

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

2512709640 is a wasteful number, since it uses less digits than its factorization.

2512709640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2512709640 is about 50126.9352743612. The cubic root of 2512709640 is about 1359.5048731089.

The spelling of 2512709640 in words is "two billion, five hundred twelve million, seven hundred nine thousand, six hundred forty".