2100641558400 has 960 divisors, whose sum is σ = 9664710168960. Its totient is φ = 436492800000.

The previous prime is 2100641558339. The next prime is 2100641558413. The reversal of 2100641558400 is 48551460012.

It is a happy number.

2100641558400 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 64 + 1 + 558 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2100641558400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19905775 + ... + 20011025.

It is an arithmetic number, because the mean of its divisors is an integer number (10067406426).

Almost surely, 2^{2100641558400} is an apocalyptic number.

2100641558400 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 2100641558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832355084480).

2100641558400 is an abundant number, since it is smaller than the sum of its proper divisors (7564068610560).

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

2100641558400 is a wasteful number, since it uses less digits than its factorization.

2100641558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105305 (or 105279 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 2100641558400 in words is "two trillion, one hundred billion, six hundred forty-one million, five hundred fifty-eight thousand, four hundred".