2506293960 has 128 divisors (see below), whose sum is σ = 7652620800. Its totient is φ = 656547840.

The previous prime is 2506293949. The next prime is 2506293967. The reversal of 2506293960 is 693926052.

It is not an unprimeable number, because it can be changed into a prime (2506293967) 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, 2284132 + ... + 2285228.

It is an arithmetic number, because the mean of its divisors is an integer number (59786100).

Almost surely, 2^2506293960 is an apocalyptic number.

2506293960 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 2506293960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826310400).

2506293960 is an abundant number, since it is smaller than the sum of its proper divisors (5146326840).

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

2506293960 is a wasteful number, since it uses less digits than its factorization.

2506293960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 2506293960 is about 50062.9000358549. The cubic root of 2506293960 is about 1358.3468162144.

The spelling of 2506293960 in words is "two billion, five hundred six million, two hundred ninety-three thousand, nine hundred sixty".