2547314440 has 64 divisors (see below), whose sum is σ = 6279586560. Its totient is φ = 922283520.

The previous prime is 2547314431. The next prime is 2547314447. The reversal of 2547314440 is 444137452.

It is a junction number, because it is equal to n+sod(n) for n = 2547314396 and 2547314405.

It is not an unprimeable number, because it can be changed into a prime (2547314447) by changing a digit.

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, 90097 + ... + 114943.

It is an arithmetic number, because the mean of its divisors is an integer number (98118540).

Almost surely, 2^2547314440 is an apocalyptic number.

2547314440 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 2547314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139793280).

2547314440 is an abundant number, since it is smaller than the sum of its proper divisors (3732272120).

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

2547314440 is a wasteful number, since it uses less digits than its factorization.

2547314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25102 (or 25098 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 2547314440 is about 50470.9266806149. The cubic root of 2547314440 is about 1365.7174311393.

The spelling of 2547314440 in words is "two billion, five hundred forty-seven million, three hundred fourteen thousand, four hundred forty".