2120870476800 has 528 divisors, whose sum is σ = 7845630570720. Its totient is φ = 561412177920.

The previous prime is 2120870476799. The next prime is 2120870476811. The reversal of 2120870476800 is 86740780212.

2120870476800 is a `hidden beast` number, since 2 + 1 + 20 + 87 + 0 + 476 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94683202 + ... + 94705598.

Almost surely, 2^{2120870476800} is an apocalyptic number.

2120870476800 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 2120870476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922815285360).

2120870476800 is an abundant number, since it is smaller than the sum of its proper divisors (5724760093920).

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

2120870476800 is a wasteful number, since it uses less digits than its factorization.

2120870476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22573 (or 22544 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 2120870476800 in words is "two trillion, one hundred twenty billion, eight hundred seventy million, four hundred seventy-six thousand, eight hundred".