2495581440 has 432 divisors, whose sum is σ = 9042884928. Its totient is φ = 585728000.

The previous prime is 2495581421. The next prime is 2495581441. The reversal of 2495581440 is 441855942.

It is a junction number, because it is equal to n+sod(n) for n = 2495581392 and 2495581401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2495581441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19050175 + ... + 19050305.

It is an arithmetic number, because the mean of its divisors is an integer number (20932604).

Almost surely, 2^2495581440 is an apocalyptic number.

2495581440 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 2495581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521442464).

2495581440 is an abundant number, since it is smaller than the sum of its proper divisors (6547303488).

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

2495581440 is a wasteful number, since it uses less digits than its factorization.

2495581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 2495581440 is about 49955.7948590551. The cubic root of 2495581440 is about 1356.4087489572.

The spelling of 2495581440 in words is "two billion, four hundred ninety-five million, five hundred eighty-one thousand, four hundred forty".