2474560368 has 360 divisors, whose sum is σ = 8644446720. Its totient is φ = 682577280.

The previous prime is 2474560331. The next prime is 2474560381. The reversal of 2474560368 is 8630654742.

2474560368 is a `hidden beast` number, since 24 + 7 + 4 + 560 + 3 + 68 = 666.

It is a super-2 number, since 2×2474560368² = 12246898029752590848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5905663 + ... + 5906081.

It is an arithmetic number, because the mean of its divisors is an integer number (24012352).

Almost surely, 2^2474560368 is an apocalyptic number.

2474560368 is a gapful number since it is divisible by the number (28) 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 2474560368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322223360).

2474560368 is an abundant number, since it is smaller than the sum of its proper divisors (6169886352).

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

2474560368 is a wasteful number, since it uses less digits than its factorization.

2474560368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2474560368 is about 49744.9531912535. The cubic root of 2474560368 is about 1352.5895185970.

The spelling of 2474560368 in words is "two billion, four hundred seventy-four million, five hundred sixty thousand, three hundred sixty-eight".