2503954978560 has 1152 divisors, whose sum is σ = 10564386201600. Its totient is φ = 549659934720.

The previous prime is 2503954978537. The next prime is 2503954978561. The reversal of 2503954978560 is 658794593052.

2503954978560 is a `hidden beast` number, since 2 + 5 + 0 + 3 + 9 + 5 + 497 + 85 + 60 = 666.

2503954978560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2503954978561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 707130390 + ... + 707133930.

Almost surely, 2^{2503954978560} is an apocalyptic number.

2503954978560 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 2503954978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282193100800).

2503954978560 is an abundant number, since it is smaller than the sum of its proper divisors (8060431223040).

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

2503954978560 is a wasteful number, since it uses less digits than its factorization.

2503954978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 2503954978560 in words is "two trillion, five hundred three billion, nine hundred fifty-four million, nine hundred seventy-eight thousand, five hundred sixty".