2477661516 has 144 divisors (see below), whose sum is σ = 7160025600. Its totient is φ = 715478400.

The previous prime is 2477661497. The next prime is 2477661547. The reversal of 2477661516 is 6151667742.

2477661516 is a `hidden beast` number, since 2 + 4 + 7 + 76 + 61 + 516 = 666.

2477661516 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2477661516² = 12277613175734836512, which contains 22 as substring.

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, 905871 + ... + 908601.

It is an arithmetic number, because the mean of its divisors is an integer number (49722400).

Almost surely, 2^2477661516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2477661516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580012800).

2477661516 is an abundant number, since it is smaller than the sum of its proper divisors (4682364084).

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

2477661516 is a wasteful number, since it uses less digits than its factorization.

2477661516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2855 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 2477661516 is about 49776.1139101879. The cubic root of 2477661516 is about 1353.1543097307.

The spelling of 2477661516 in words is "two billion, four hundred seventy-seven million, six hundred sixty-one thousand, five hundred sixteen".