2478450744 has 768 divisors, whose sum is σ = 9805824000. Its totient is φ = 564537600.

The previous prime is 2478450719. The next prime is 2478450761. The reversal of 2478450744 is 4470548742.

2478450744 is a `hidden beast` number, since 24 + 7 + 84 + 507 + 44 = 666.

It is a super-2 number, since 2×2478450744² = 12285436180868307072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2478450744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79950009 + ... + 79950039.

It is an arithmetic number, because the mean of its divisors is an integer number (12768000).

Almost surely, 2^2478450744 is an apocalyptic number.

2478450744 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 2478450744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902912000).

2478450744 is an abundant number, since it is smaller than the sum of its proper divisors (7327373256).

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

2478450744 is a wasteful number, since it uses less digits than its factorization.

2478450744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The square root of 2478450744 is about 49784.0410573509. The cubic root of 2478450744 is about 1353.2979712558.

The spelling of 2478450744 in words is "two billion, four hundred seventy-eight million, four hundred fifty thousand, seven hundred forty-four".