2542556540 has 48 divisors (see below), whose sum is σ = 5421790080. Its totient is φ = 1001395200.

The previous prime is 2542556537. The next prime is 2542556579. The reversal of 2542556540 is 456552452.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2542556494 and 2542556503.

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, 631574 + ... + 635586.

It is an arithmetic number, because the mean of its divisors is an integer number (112953960).

Almost surely, 2^2542556540 is an apocalyptic number.

2542556540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542556540 is an abundant number, since it is smaller than the sum of its proper divisors (2879233540).

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

2542556540 is a wasteful number, since it uses less digits than its factorization.

2542556540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 38.

The square root of 2542556540 is about 50423.7695933178. The cubic root of 2542556540 is about 1364.8666008543.

The spelling of 2542556540 in words is "two billion, five hundred forty-two million, five hundred fifty-six thousand, five hundred forty".