2525411840 has 160 divisors (see below), whose sum is σ = 7053298560. Its totient is φ = 849199104.

The previous prime is 2525411839. The next prime is 2525411857. The reversal of 2525411840 is 481145252.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2525411840² = 12755409923224371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2525411797 and 2525411806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948431 + ... + 951089.

It is an arithmetic number, because the mean of its divisors is an integer number (44083116).

Almost surely, 2^2525411840 is an apocalyptic number.

2525411840 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 2525411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526649280).

2525411840 is an abundant number, since it is smaller than the sum of its proper divisors (4527886720).

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

2525411840 is an equidigital number, since it uses as much as digits as its factorization.

2525411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 2525411840 is about 50253.4758996828. The cubic root of 2525411840 is about 1361.7918710667.

The spelling of 2525411840 in words is "two billion, five hundred twenty-five million, four hundred eleven thousand, eight hundred forty".