2472778560 has 448 divisors, whose sum is σ = 9585838080. Its totient is φ = 527523840.

The previous prime is 2472778549. The next prime is 2472778601. The reversal of 2472778560 is 658772742.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2472778560² = 12229267613591347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13661670 + ... + 13661850.

It is an arithmetic number, because the mean of its divisors is an integer number (21396960).

Almost surely, 2^2472778560 is an apocalyptic number.

2472778560 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 2472778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792919040).

2472778560 is an abundant number, since it is smaller than the sum of its proper divisors (7113059520).

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

2472778560 is a wasteful number, since it uses less digits than its factorization.

2472778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The square root of 2472778560 is about 49727.0405312844. The cubic root of 2472778560 is about 1352.2647964711.

The spelling of 2472778560 in words is "two billion, four hundred seventy-two million, seven hundred seventy-eight thousand, five hundred sixty".