2478650400 has 108 divisors (see below), whose sum is σ = 8740366362. Its totient is φ = 660971520.

The previous prime is 2478650341. The next prime is 2478650413. The reversal of 2478650400 is 40568742.

2478650400 is a `hidden beast` number, since 247 + 8 + 6 + 5 + 0 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1322922384 + 1155728016 = 36372^2 + 33996^2 .

It is a super-2 number, since 2×2478650400² = 12287415610840320000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 164929 + ... + 179328.

Almost surely, 2^2478650400 is an apocalyptic number.

2478650400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2478650400 is an abundant number, since it is smaller than the sum of its proper divisors (6261715962).

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

2478650400 is a wasteful number, since it uses less digits than its factorization.

2478650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344283 (or 344267 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2478650400 is about 49786.0462378767. The cubic root of 2478650400 is about 1353.3343093869.

The spelling of 2478650400 in words is "two billion, four hundred seventy-eight million, six hundred fifty thousand, four hundred".