2499752160 has 144 divisors (see below), whose sum is σ = 8543598336. Its totient is φ = 665570304.

The previous prime is 2499752147. The next prime is 2499752161. The reversal of 2499752160 is 612579942.

2499752160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2499752160² = 12497521722849331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2499752161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1564482 + ... + 1566078.

It is an arithmetic number, because the mean of its divisors is an integer number (59330544).

Almost surely, 2^2499752160 is an apocalyptic number.

2499752160 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 2499752160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271799168).

2499752160 is an abundant number, since it is smaller than the sum of its proper divisors (6043846176).

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

2499752160 is a wasteful number, since it uses less digits than its factorization.

2499752160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2499752160 is about 49997.5215385723. The cubic root of 2499752160 is about 1357.1639573978.

The spelling of 2499752160 in words is "two billion, four hundred ninety-nine million, seven hundred fifty-two thousand, one hundred sixty".