2560381500 has 96 divisors (see below), whose sum is σ = 7657505856. Its totient is φ = 664300800.

The previous prime is 2560381457. The next prime is 2560381501. The reversal of 2560381500 is 51830652.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560381501) 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, 32434 + ... + 78566.

It is an arithmetic number, because the mean of its divisors is an integer number (79765686).

Almost surely, 2^2560381500 is an apocalyptic number.

2560381500 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 2560381500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828752928).

2560381500 is an abundant number, since it is smaller than the sum of its proper divisors (5097124356).

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

2560381500 is a wasteful number, since it uses less digits than its factorization.

2560381500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46192 (or 46180 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2560381500 is about 50600.2124501469. The cubic root of 2560381500 is about 1368.0487076977.

The spelling of 2560381500 in words is "two billion, five hundred sixty million, three hundred eighty-one thousand, five hundred".