2501162664 has 384 divisors, whose sum is σ = 8687347200. Its totient is φ = 589800960.

The previous prime is 2501162663. The next prime is 2501162683. The reversal of 2501162664 is 4662611052.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2501162663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17993907 + ... + 17994045.

It is an arithmetic number, because the mean of its divisors is an integer number (22623300).

Almost surely, 2^2501162664 is an apocalyptic number.

2501162664 is a gapful number since it is divisible by the number (24) 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 2501162664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343673600).

2501162664 is an abundant number, since it is smaller than the sum of its proper divisors (6186184536).

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

2501162664 is a wasteful number, since it uses less digits than its factorization.

2501162664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2501162664 is about 50011.6252885267. The cubic root of 2501162664 is about 1357.4191727327.

The spelling of 2501162664 in words is "two billion, five hundred one million, one hundred sixty-two thousand, six hundred sixty-four".