2525415040 has 64 divisors (see below), whose sum is σ = 6060177000. Its totient is φ = 1006342144.

The previous prime is 2525415037. The next prime is 2525415097. The reversal of 2525415040 is 405145252.

It can be written as a sum of positive squares in 4 ways, for example, as 1592967744 + 932447296 = 39912^2 + 30536^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2525415040² = 12755442248516403200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164826 + ... + 179494.

Almost surely, 2^2525415040 is an apocalyptic number.

2525415040 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 2525415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030088500).

2525415040 is an abundant number, since it is smaller than the sum of its proper divisors (3534761960).

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

2525415040 is a wasteful number, since it uses less digits than its factorization.

2525415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14957 (or 14945 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 2525415040 is about 50253.5077382664. The cubic root of 2525415040 is about 1361.7924462510.

The spelling of 2525415040 in words is "two billion, five hundred twenty-five million, four hundred fifteen thousand, forty".