2112596640 has 960 divisors, whose sum is σ = 9747682560. Its totient is φ = 418037760.

The previous prime is 2112596639. The next prime is 2112596671. The reversal of 2112596640 is 466952112.

2112596640 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 5 + 9 + 6 + 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 = 2112596595 and 2112596604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28939644 + ... + 28939716.

It is an arithmetic number, because the mean of its divisors is an integer number (10153836).

Almost surely, 2^2112596640 is an apocalyptic number.

2112596640 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 2112596640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873841280).

2112596640 is an abundant number, since it is smaller than the sum of its proper divisors (7635085920).

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

2112596640 is a wasteful number, since it uses less digits than its factorization.

2112596640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2112596640 is about 45962.9920697076. The cubic root of 2112596640 is about 1283.1345377496.

The spelling of 2112596640 in words is "two billion, one hundred twelve million, five hundred ninety-six thousand, six hundred forty".