2503971205968 has 160 divisors (see below), whose sum is σ = 6586070964480. Its totient is φ = 819645235200.

The previous prime is 2503971205963. The next prime is 2503971206003. The reversal of 2503971205968 is 8695021793052.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2503971205963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897801118 + ... + 897803906.

It is an arithmetic number, because the mean of its divisors is an integer number (41162943528).

Almost surely, 2^{2503971205968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2503971205968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293035482240).

2503971205968 is an abundant number, since it is smaller than the sum of its proper divisors (4082099758512).

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

2503971205968 is a wasteful number, since it uses less digits than its factorization.

2503971205968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 2503971205968 in words is "two trillion, five hundred three billion, nine hundred seventy-one million, two hundred five thousand, nine hundred sixty-eight".