2477659968 has 224 divisors, whose sum is σ = 8814816000. Its totient is φ = 666206208.

The previous prime is 2477659937. The next prime is 2477660033. The reversal of 2477659968 is 8699567742.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2477659968² = 12277597834059522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199608 + ... + 211656.

Almost surely, 2^2477659968 is an apocalyptic number.

2477659968 is a gapful number since it is divisible by the number (28) 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 2477659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407408000).

2477659968 is an abundant number, since it is smaller than the sum of its proper divisors (6337156032).

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

2477659968 is a wasteful number, since it uses less digits than its factorization.

2477659968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12094 (or 12078 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The square root of 2477659968 is about 49776.0983605586. The cubic root of 2477659968 is about 1353.1540279215.

The spelling of 2477659968 in words is "two billion, four hundred seventy-seven million, six hundred fifty-nine thousand, nine hundred sixty-eight".