2010456913920 has 768 divisors, whose sum is σ = 8189475840000. Its totient is φ = 409540755456.

The previous prime is 2010456913897. The next prime is 2010456914023. The reversal of 2010456913920 is 293196540102.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81057681 + ... + 81082479.

It is an arithmetic number, because the mean of its divisors is an integer number (10663380000).

Almost surely, 2^{2010456913920} is an apocalyptic number.

2010456913920 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 2010456913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094737920000).

2010456913920 is an abundant number, since it is smaller than the sum of its proper divisors (6179018926080).

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

2010456913920 is a wasteful number, since it uses less digits than its factorization.

2010456913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24878 (or 24858 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 2010456913920 in words is "two trillion, ten billion, four hundred fifty-six million, nine hundred thirteen thousand, nine hundred twenty".