2477863408020 has 2304 divisors, whose sum is σ = 10758410772480. Its totient is φ = 416179814400.

The previous prime is 2477863407991. The next prime is 2477863408051. The reversal of 2477863408020 is 208043687742.

It is a super-2 number, since 2×2477863408020² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 9641491732 + ... + 9641491988.

It is an arithmetic number, because the mean of its divisors is an integer number (4669449120).

Almost surely, 2^{2477863408020} is an apocalyptic number.

2477863408020 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 2477863408020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379205386240).

2477863408020 is an abundant number, since it is smaller than the sum of its proper divisors (8280547364460).

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

2477863408020 is a wasteful number, since it uses less digits than its factorization.

2477863408020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 2477863408020 in words is "two trillion, four hundred seventy-seven billion, eight hundred sixty-three million, four hundred eight thousand, twenty".