2120415254400 has 192 divisors, whose sum is σ = 7102494518400. Its totient is φ = 555860121600.

The previous prime is 2120415254371. The next prime is 2120415254429. The reversal of 2120415254400 is 44525140212.

It is an interprime number because it is at equal distance from previous prime (2120415254371) and next prime (2120415254429).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1305436 + ... + 2438235.

It is an arithmetic number, because the mean of its divisors is an integer number (36992158950).

Almost surely, 2^{2120415254400} is an apocalyptic number.

2120415254400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120415254400 is an abundant number, since it is smaller than the sum of its proper divisors (4982079264000).

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

2120415254400 is a wasteful number, since it uses less digits than its factorization.

2120415254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743757 (or 3743740 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 2120415254400 in words is "two trillion, one hundred twenty billion, four hundred fifteen million, two hundred fifty-four thousand, four hundred".