2477996160 has 384 divisors, whose sum is σ = 8751110400. Its totient is φ = 594247680.

The previous prime is 2477996159. The next prime is 2477996161. The reversal of 2477996160 is 616997742.

It is an interprime number because it is at equal distance from previous prime (2477996159) and next prime (2477996161).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2477996160² = 12280929937949491200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (2477996161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31367001 + ... + 31367079.

It is an arithmetic number, because the mean of its divisors is an integer number (22789350).

Almost surely, 2^2477996160 is an apocalyptic number.

2477996160 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 2477996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375555200).

2477996160 is an abundant number, since it is smaller than the sum of its proper divisors (6273114240).

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

2477996160 is a wasteful number, since it uses less digits than its factorization.

2477996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 2477996160 is about 49779.4752885163. The cubic root of 2477996160 is about 1353.2152280042.

The spelling of 2477996160 in words is "two billion, four hundred seventy-seven million, nine hundred ninety-six thousand, one hundred sixty".