2510378102640 has 160 divisors (see below), whose sum is σ = 8062865997120. Its totient is φ = 645359239168.

The previous prime is 2510378102633. The next prime is 2510378102641. The reversal of 2510378102640 is 462018730152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2510378102641) 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, 4268704 + ... + 4821056.

It is an arithmetic number, because the mean of its divisors is an integer number (50392912482).

Almost surely, 2^{2510378102640} is an apocalyptic number.

2510378102640 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 2510378102640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031432998560).

2510378102640 is an abundant number, since it is smaller than the sum of its proper divisors (5552487894480).

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

2510378102640 is a wasteful number, since it uses less digits than its factorization.

2510378102640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553051 (or 553045 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 2510378102640 in words is "two trillion, five hundred ten billion, three hundred seventy-eight million, one hundred two thousand, six hundred forty".