2542264120 has 128 divisors (see below), whose sum is σ = 6664550400. Its totient is φ = 863654400.

The previous prime is 2542264111. The next prime is 2542264177. The reversal of 2542264120 is 214622452.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392347 + ... + 398773.

It is an arithmetic number, because the mean of its divisors is an integer number (52066800).

Almost surely, 2^2542264120 is an apocalyptic number.

2542264120 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 2542264120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332275200).

2542264120 is an abundant number, since it is smaller than the sum of its proper divisors (4122286280).

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

2542264120 is a wasteful number, since it uses less digits than its factorization.

2542264120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6509 (or 6505 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 2542264120 is about 50420.8698853957. The cubic root of 2542264120 is about 1364.8142743099.

Adding to 2542264120 its reverse (214622452), we get a palindrome (2756886572).

It can be divided in two parts, 2542 and 264120, that added together give a palindrome (266662).

The spelling of 2542264120 in words is "two billion, five hundred forty-two million, two hundred sixty-four thousand, one hundred twenty".