2542959160 has 64 divisors (see below), whose sum is σ = 6583032000. Its totient is φ = 866006016.

The previous prime is 2542959151. The next prime is 2542959173. The reversal of 2542959160 is 619592452.

2542959160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2542959160³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11244 + ... + 72196.

It is an arithmetic number, because the mean of its divisors is an integer number (102859875).

Almost surely, 2^2542959160 is an apocalyptic number.

2542959160 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 2542959160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291516000).

2542959160 is an abundant number, since it is smaller than the sum of its proper divisors (4040072840).

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

2542959160 is a wasteful number, since it uses less digits than its factorization.

2542959160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61120 (or 61116 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The square root of 2542959160 is about 50427.7617984380. The cubic root of 2542959160 is about 1364.9386403651.

The spelling of 2542959160 in words is "two billion, five hundred forty-two million, nine hundred fifty-nine thousand, one hundred sixty".