2091207625920 has 672 divisors, whose sum is σ = 8280566461440. Its totient is φ = 474509352960.

The previous prime is 2091207625909. The next prime is 2091207625937. The reversal of 2091207625920 is 295267021902.

2091207625920 is a `hidden beast` number, since 2 + 0 + 9 + 12 + 0 + 7 + 625 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2048195010 + ... + 2048196030.

It is an arithmetic number, because the mean of its divisors is an integer number (12322271520).

Almost surely, 2^{2091207625920} is an apocalyptic number.

2091207625920 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 2091207625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140283230720).

2091207625920 is an abundant number, since it is smaller than the sum of its proper divisors (6189358835520).

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

2091207625920 is a wasteful number, since it uses less digits than its factorization.

2091207625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 2091207625920 in words is "two trillion, ninety-one billion, two hundred seven million, six hundred twenty-five thousand, nine hundred twenty".