2120407413956 has 24 divisors (see below), whose sum is σ = 4041053031960. Its totient is φ = 967653510912.

The previous prime is 2120407413953. The next prime is 2120407413973. The reversal of 2120407413956 is 6593147040212.

It can be written as a sum of positive squares in 4 ways, for example, as 155969704900 + 1964437709056 = 394930^2 + 1401584^2 .

It is a super-2 number, since 2×2120407413956² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2120407413953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229080011 + ... + 229089266.

It is an arithmetic number, because the mean of its divisors is an integer number (168377209665).

Almost surely, 2^{2120407413956} is an apocalyptic number.

2120407413956 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2120407413956 is a deficient number, since it is larger than the sum of its proper divisors (1920645618004).

2120407413956 is a wasteful number, since it uses less digits than its factorization.

2120407413956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458169383 (or 458169381 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 2120407413956 in words is "two trillion, one hundred twenty billion, four hundred seven million, four hundred thirteen thousand, nine hundred fifty-six".