2050824474864 has 480 divisors, whose sum is σ = 6790890355200. Its totient is φ = 587595617280.

The previous prime is 2050824474847. The next prime is 2050824474871. The reversal of 2050824474864 is 4684744280502.

It is a happy number.

2050824474864 is a `hidden beast` number, since 2 + 0 + 508 + 2 + 4 + 4 + 74 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2050824474864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1274594892 + ... + 1274596500.

It is an arithmetic number, because the mean of its divisors is an integer number (14147688240).

Almost surely, 2^{2050824474864} is an apocalyptic number.

2050824474864 is a gapful number since it is divisible by the number (24) 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 2050824474864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395445177600).

2050824474864 is an abundant number, since it is smaller than the sum of its proper divisors (4740065880336).

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

2050824474864 is a wasteful number, since it uses less digits than its factorization.

2050824474864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 2050824474864 in words is "two trillion, fifty billion, eight hundred twenty-four million, four hundred seventy-four thousand, eight hundred sixty-four".