2547504960 has 672 divisors, whose sum is σ = 10987527936. Its totient is φ = 486604800.

The previous prime is 2547504941. The next prime is 2547504979. The reversal of 2547504960 is 694057452.

It is an interprime number because it is at equal distance from previous prime (2547504941) and next prime (2547504979).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10570440 + ... + 10570680.

It is an arithmetic number, because the mean of its divisors is an integer number (16350488).

Almost surely, 2^2547504960 is an apocalyptic number.

2547504960 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 2547504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493763968).

2547504960 is an abundant number, since it is smaller than the sum of its proper divisors (8440022976).

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

2547504960 is a wasteful number, since it uses less digits than its factorization.

2547504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 2547504960 is about 50472.8140685657. The cubic root of 2547504960 is about 1365.7514787614.

The spelling of 2547504960 in words is "two billion, five hundred forty-seven million, five hundred four thousand, nine hundred sixty".