2107624329104 has 640 divisors, whose sum is σ = 5397597388800. Its totient is φ = 776744017920.

The previous prime is 2107624329101. The next prime is 2107624329157. The reversal of 2107624329104 is 4019234267012.

It is a super-2 number, since 2×2107624329104² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2107624329101) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12930210527 + ... + 12930210689.

It is an arithmetic number, because the mean of its divisors is an integer number (8433745920).

Almost surely, 2^{2107624329104} 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 2107624329104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698798694400).

2107624329104 is an abundant number, since it is smaller than the sum of its proper divisors (3289973059696).

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

2107624329104 is a wasteful number, since it uses less digits than its factorization.

2107624329104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 2107624329104 in words is "two trillion, one hundred seven billion, six hundred twenty-four million, three hundred twenty-nine thousand, one hundred four".