2699975680632 has 192 divisors, whose sum is σ = 7707757824000. Its totient is φ = 852143246592.

The previous prime is 2699975680631. The next prime is 2699975680711. The reversal of 2699975680632 is 2360865799962.

2699975680632 is a `hidden beast` number, since 26 + 9 + 9 + 9 + 7 + 568 + 0 + 6 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2699975680631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254973994 + ... + 254984582.

It is an arithmetic number, because the mean of its divisors is an integer number (40144572000).

Almost surely, 2^{2699975680632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2699975680632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853878912000).

2699975680632 is an abundant number, since it is smaller than the sum of its proper divisors (5007782143368).

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

2699975680632 is a wasteful number, since it uses less digits than its factorization.

2699975680632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12170 (or 12163 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 2699975680632 in words is "two trillion, six hundred ninety-nine billion, nine hundred seventy-five million, six hundred eighty thousand, six hundred thirty-two".