2503941672960 has 2912 divisors, whose sum is σ = 11791863202560. Its totient is φ = 495338913792.

The previous prime is 2503941672949. The next prime is 2503941673021. The reversal of 2503941672960 is 692761493052.

2503941672960 is a `hidden beast` number, since 2 + 5 + 0 + 394 + 167 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2912).

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

It is a junction number, because it is equal to n+sod(n) for n = 2503941672897 and 2503941672906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 25813831632 + ... + 25813831728.

Almost surely, 2^{2503941672960} is an apocalyptic number.

2503941672960 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 2503941672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895931601280).

2503941672960 is an abundant number, since it is smaller than the sum of its proper divisors (9287921529600).

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

2503941672960 is an equidigital number, since it uses as much as digits as its factorization.

2503941672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 2503941672960 in words is "two trillion, five hundred three billion, nine hundred forty-one million, six hundred seventy-two thousand, nine hundred sixty".