2542260160 has 112 divisors (see below), whose sum is σ = 6649224192. Its totient is φ = 918144000.

The previous prime is 2542260157. The next prime is 2542260197. The reversal of 2542260160 is 610622452.

It is a super-2 number, since 2×2542260160² = 12926173442246451200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 529129 + ... + 533911.

Almost surely, 2^2542260160 is an apocalyptic number.

2542260160 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 2542260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324612096).

2542260160 is an abundant number, since it is smaller than the sum of its proper divisors (4106964032).

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

2542260160 is a wasteful number, since it uses less digits than its factorization.

2542260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2542260160 is about 50420.8306159270. The cubic root of 2542260160 is about 1364.8135656677.

The spelling of 2542260160 in words is "two billion, five hundred forty-two million, two hundred sixty thousand, one hundred sixty".