2070125296800 has 288 divisors, whose sum is σ = 7418275824960. Its totient is φ = 497243750400.

The previous prime is 2070125296793. The next prime is 2070125296831. The reversal of 2070125296800 is 86925210702.

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, 2517904 + ... + 3237296.

It is an arithmetic number, because the mean of its divisors is an integer number (25757902170).

Almost surely, 2^{2070125296800} is an apocalyptic number.

2070125296800 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 2070125296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709137912480).

2070125296800 is an abundant number, since it is smaller than the sum of its proper divisors (5348150528160).

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

2070125296800 is a wasteful number, since it uses less digits than its factorization.

2070125296800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719536 (or 719523 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 2070125296800 in words is "two trillion, seventy billion, one hundred twenty-five million, two hundred ninety-six thousand, eight hundred".