2542001120 has 24 divisors (see below), whose sum is σ = 6005478024. Its totient is φ = 1016800384.

The previous prime is 2542001113. The next prime is 2542001131. The reversal of 2542001120 is 211002452.

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 3 ways as a sum of consecutive naturals, for example, 7943594 + ... + 7943913.

It is an arithmetic number, because the mean of its divisors is an integer number (250228251).

Almost surely, 2^2542001120 is an apocalyptic number.

2542001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542001120 is an abundant number, since it is smaller than the sum of its proper divisors (3463476904).

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

2542001120 is a wasteful number, since it uses less digits than its factorization.

2542001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15887522 (or 15887514 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2542001120 is about 50418.2617709100. The cubic root of 2542001120 is about 1364.7672088444.

Adding to 2542001120 its reverse (211002452), we get a palindrome (2753003572).

The spelling of 2542001120 in words is "two billion, five hundred forty-two million, one thousand, one hundred twenty".