2477448960 has 576 divisors, whose sum is σ = 9663639552. Its totient is φ = 529072128.

The previous prime is 2477448949. The next prime is 2477448973. The reversal of 2477448960 is 698447742.

It is a happy number.

It is a super-2 number, since 2×2477448960² = 12275506698810163200, which contains 22 as substring.

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, 46744294 + ... + 46744346.

It is an arithmetic number, because the mean of its divisors is an integer number (16777152).

Almost surely, 2^2477448960 is an apocalyptic number.

2477448960 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 2477448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831819776).

2477448960 is an abundant number, since it is smaller than the sum of its proper divisors (7186190592).

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

2477448960 is a wasteful number, since it uses less digits than its factorization.

2477448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The square root of 2477448960 is about 49773.9787439180. The cubic root of 2477448960 is about 1353.1156133913.

The spelling of 2477448960 in words is "two billion, four hundred seventy-seven million, four hundred forty-eight thousand, nine hundred sixty".