2007124583904 has 384 divisors, whose sum is σ = 6665572892160. Its totient is φ = 582183014400.

The previous prime is 2007124583903. The next prime is 2007124583909. The reversal of 2007124583904 is 4093854217002.

2007124583904 is a `hidden beast` number, since 200 + 7 + 1 + 2 + 4 + 58 + 390 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2007124583904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007124583903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20603599 + ... + 20700785.

It is an arithmetic number, because the mean of its divisors is an integer number (17358262740).

Almost surely, 2^{2007124583904} is an apocalyptic number.

2007124583904 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 2007124583904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332786446080).

2007124583904 is an abundant number, since it is smaller than the sum of its proper divisors (4658448308256).

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

2007124583904 is a wasteful number, since it uses less digits than its factorization.

2007124583904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97311 (or 97297 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2007124583904 in words is "two trillion, seven billion, one hundred twenty-four million, five hundred eighty-three thousand, nine hundred four".