2047874400 has 1080 divisors, whose sum is σ = 9340980264. Its totient is φ = 431308800.

The previous prime is 2047874393. The next prime is 2047874401. The reversal of 2047874400 is 44787402.

2047874400 is a `hidden beast` number, since 204 + 7 + 8 + 7 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047874401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 120463192 + ... + 120463208.

Almost surely, 2^2047874400 is an apocalyptic number.

2047874400 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 2047874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670490132).

2047874400 is an abundant number, since it is smaller than the sum of its proper divisors (7293105864).

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

2047874400 is a wasteful number, since it uses less digits than its factorization.

2047874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 2047874400 is about 45253.4462776041. The cubic root of 2047874400 is about 1269.8948804225.

The spelling of 2047874400 in words is "two billion, forty-seven million, eight hundred seventy-four thousand, four hundred".