2647572480 has 720 divisors, whose sum is σ = 11450100480. Its totient is φ = 573308928.

The previous prime is 2647572467. The next prime is 2647572497. The reversal of 2647572480 is 842757462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139345911 + ... + 139345929.

Almost surely, 2^2647572480 is an apocalyptic number.

2647572480 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 2647572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725050240).

2647572480 is an abundant number, since it is smaller than the sum of its proper divisors (8802528000).

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

2647572480 is an frugal number, since it uses more digits than its factorization.

2647572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 2647572480 is about 51454.5671442293. The cubic root of 2647572480 is about 1383.4048250015.

The spelling of 2647572480 in words is "two billion, six hundred forty-seven million, five hundred seventy-two thousand, four hundred eighty".