2478809001600 has 384 divisors, whose sum is σ = 9119309184000. Its totient is φ = 657550540800.

The previous prime is 2478809001563. The next prime is 2478809001629. The reversal of 2478809001600 is 61009088742.

2478809001600 is a `hidden beast` number, since 2 + 478 + 80 + 90 + 0 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2478809001600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16427296 + ... + 16577504.

It is an arithmetic number, because the mean of its divisors is an integer number (23748201000).

Almost surely, 2^{2478809001600} is an apocalyptic number.

2478809001600 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 2478809001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559654592000).

2478809001600 is an abundant number, since it is smaller than the sum of its proper divisors (6640500182400).

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

2478809001600 is a wasteful number, since it uses less digits than its factorization.

2478809001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150433 (or 150410 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2478809001600 in words is "two trillion, four hundred seventy-eight billion, eight hundred nine million, one thousand, six hundred".