2007165456 has 120 divisors (see below), whose sum is σ = 5818984704. Its totient is φ = 645442560.

The previous prime is 2007165443. The next prime is 2007165473. The reversal of 2007165456 is 6545617002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2007165456.

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, 478440 + ... + 482616.

Almost surely, 2^2007165456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007165456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909492352).

2007165456 is an abundant number, since it is smaller than the sum of its proper divisors (3811819248).

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

2007165456 is a wasteful number, since it uses less digits than its factorization.

2007165456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2007165456 is about 44801.4001566915. The cubic root of 2007165456 is about 1261.4239080184.

The spelling of 2007165456 in words is "two billion, seven million, one hundred sixty-five thousand, four hundred fifty-six".