2507987760 has 160 divisors (see below), whose sum is σ = 7934492160. Its totient is φ = 655202304.

The previous prime is 2507987743. The next prime is 2507987767. The reversal of 2507987760 is 677897052.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2507987767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2728581 + ... + 2729499.

It is an arithmetic number, because the mean of its divisors is an integer number (49590576).

Almost surely, 2^2507987760 is an apocalyptic number.

2507987760 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 2507987760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967246080).

2507987760 is an abundant number, since it is smaller than the sum of its proper divisors (5426504400).

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

2507987760 is a wasteful number, since it uses less digits than its factorization.

2507987760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The square root of 2507987760 is about 50079.8138974178. The cubic root of 2507987760 is about 1358.6527459747.

The spelling of 2507987760 in words is "two billion, five hundred seven million, nine hundred eighty-seven thousand, seven hundred sixty".