2542420256 has 96 divisors (see below), whose sum is σ = 5369172480. Its totient is φ = 1182899200.

The previous prime is 2542420249. The next prime is 2542420319. The reversal of 2542420256 is 6520242452.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3096326 + ... + 3097146.

It is an arithmetic number, because the mean of its divisors is an integer number (55928880).

Almost surely, 2^2542420256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542420256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684586240).

2542420256 is an abundant number, since it is smaller than the sum of its proper divisors (2826752224).

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

2542420256 is a wasteful number, since it uses less digits than its factorization.

2542420256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 2542420256 is about 50422.4181887382. The cubic root of 2542420256 is about 1364.8422142707.

The spelling of 2542420256 in words is "two billion, five hundred forty-two million, four hundred twenty thousand, two hundred fifty-six".