2100400062552 has 192 divisors, whose sum is σ = 6608758908960. Its totient is φ = 595581235200.

The previous prime is 2100400062517. The next prime is 2100400062557. The reversal of 2100400062552 is 2552600040012.

2100400062552 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 400 + 0 + 6 + 255 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100400062557) 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, 1878402 + ... + 2780142.

Almost surely, 2^{2100400062552} is an apocalyptic number.

2100400062552 is a gapful number since it is divisible by the number (22) 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 2100400062552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304379454480).

2100400062552 is an abundant number, since it is smaller than the sum of its proper divisors (4508358846408).

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

2100400062552 is a wasteful number, since it uses less digits than its factorization.

2100400062552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901954 (or 901947 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 2100400062552 in words is "two trillion, one hundred billion, four hundred million, sixty-two thousand, five hundred fifty-two".