2504739373920 has 2016 divisors, whose sum is σ = 10863795188736. Its totient is φ = 543187814400.

The previous prime is 2504739373901. The next prime is 2504739373933. The reversal of 2504739373920 is 293739374052.

2504739373920 is a `hidden beast` number, since 2 + 50 + 473 + 9 + 37 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×2504739373920³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 11870802615 + ... + 11870802825.

It is an arithmetic number, because the mean of its divisors is an integer number (5388787296).

Almost surely, 2^{2504739373920} is an apocalyptic number.

2504739373920 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 2504739373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431897594368).

2504739373920 is an abundant number, since it is smaller than the sum of its proper divisors (8359055814816).

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

2504739373920 is a wasteful number, since it uses less digits than its factorization.

2504739373920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 2504739373920 in words is "two trillion, five hundred four billion, seven hundred thirty-nine million, three hundred seventy-three thousand, nine hundred twenty".