2100430552752 has 600 divisors, whose sum is σ = 7204871706912. Its totient is φ = 588910694400.

The previous prime is 2100430552733. The next prime is 2100430552757. The reversal of 2100430552752 is 2572550340012.

2100430552752 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 4 + 30 + 552 + 75 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2100430552757) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1086615978 + ... + 1086617910.

Almost surely, 2^{2100430552752} 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 2100430552752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602435853456).

2100430552752 is an abundant number, since it is smaller than the sum of its proper divisors (5104441154160).

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

2100430552752 is a wasteful number, since it uses less digits than its factorization.

2100430552752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

Adding to 2100430552752 its reverse (2572550340012), we get a palindrome (4672980892764).

The spelling of 2100430552752 in words is "two trillion, one hundred billion, four hundred thirty million, five hundred fifty-two thousand, seven hundred fifty-two".