2547312480 has 72 divisors (see below), whose sum is σ = 8692708752. Its totient is φ = 679282944.

The previous prime is 2547312479. The next prime is 2547312499. The reversal of 2547312480 is 842137452.

It is a happy number.

2547312480 is a `hidden beast` number, since 2 + 547 + 31 + 2 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 883044 + ... + 885923.

It is an arithmetic number, because the mean of its divisors is an integer number (120732066).

Almost surely, 2^2547312480 is an apocalyptic number.

2547312480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2547312480 is an abundant number, since it is smaller than the sum of its proper divisors (6145396272).

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

2547312480 is a wasteful number, since it uses less digits than its factorization.

2547312480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768988 (or 1768977 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2547312480 is about 50470.9072634919. The cubic root of 2547312480 is about 1365.7170808610.

The spelling of 2547312480 in words is "two billion, five hundred forty-seven million, three hundred twelve thousand, four hundred eighty".