2134010202400 has 72 divisors (see below), whose sum is σ = 5216499692964. Its totient is φ = 852482150400.

The previous prime is 2134010202323. The next prime is 2134010202413. The reversal of 2134010202400 is 42020104312.

It can be written as a sum of positive squares in 6 ways, for example, as 2608757776 + 2131401444624 = 51076^2 + 1459932^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1143837 + ... + 2361436.

Almost surely, 2^{2134010202400} is an apocalyptic number.

2134010202400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134010202400 is an abundant number, since it is smaller than the sum of its proper divisors (3082489490564).

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

2134010202400 is a wasteful number, since it uses less digits than its factorization.

2134010202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506054 (or 3506041 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 2134010202400 its reverse (42020104312), we get a palindrome (2176030306712).

The spelling of 2134010202400 in words is "two trillion, one hundred thirty-four billion, ten million, two hundred two thousand, four hundred".