2507016960 has 576 divisors, whose sum is σ = 10446965760. Its totient is φ = 557383680.

The previous prime is 2507016949. The next prime is 2507016961. The reversal of 2507016960 is 696107052.

It is a tau number, because it is divible by the number of its divisors (576).

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 (2507016961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10402440 + ... + 10402680.

Almost surely, 2^2507016960 is an apocalyptic number.

2507016960 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 2507016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223482880).

2507016960 is an abundant number, since it is smaller than the sum of its proper divisors (7939948800).

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

2507016960 is a wasteful number, since it uses less digits than its factorization.

2507016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2507016960 is about 50070.1204312512. The cubic root of 2507016960 is about 1358.4774194535.

The spelling of 2507016960 in words is "two billion, five hundred seven million, sixteen thousand, nine hundred sixty".