2506404384 has 240 divisors, whose sum is σ = 8516049696. Its totient is φ = 714700800.

The previous prime is 2506404359. The next prime is 2506404389. The reversal of 2506404384 is 4834046052.

2506404384 is a `hidden beast` number, since 2 + 5 + 0 + 640 + 4 + 3 + 8 + 4 = 666.

It is a super-2 number, since 2×2506404384² = 12564125872268838912, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2506404389) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 482119 + ... + 487289.

Almost surely, 2^2506404384 is an apocalyptic number.

2506404384 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 2506404384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258024848).

2506404384 is an abundant number, since it is smaller than the sum of its proper divisors (6009645312).

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

2506404384 is a wasteful number, since it uses less digits than its factorization.

2506404384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2506404384 is about 50064.0028763182. The cubic root of 2506404384 is about 1358.3667649100.

The spelling of 2506404384 in words is "two billion, five hundred six million, four hundred four thousand, three hundred eighty-four".