2508600672 has 96 divisors (see below), whose sum is σ = 7333724160. Its totient is φ = 834261120.

The previous prime is 2508600671. The next prime is 2508600673. The reversal of 2508600672 is 2760068052.

It is an interprime number because it is at equal distance from previous prime (2508600671) and next prime (2508600673).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2508600671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396897 + ... + 403167.

It is an arithmetic number, because the mean of its divisors is an integer number (76392960).

Almost surely, 2^2508600672 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 2508600672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666862080).

2508600672 is an abundant number, since it is smaller than the sum of its proper divisors (4825123488).

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

2508600672 is a wasteful number, since it uses less digits than its factorization.

2508600672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6739 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2508600672 is about 50085.9328754092. The cubic root of 2508600672 is about 1358.7634146096.

The spelling of 2508600672 in words is "two billion, five hundred eight million, six hundred thousand, six hundred seventy-two".