2511325440 has 432 divisors, whose sum is σ = 9608966640. Its totient is φ = 601620480.

The previous prime is 2511325433. The next prime is 2511325463. The reversal of 2511325440 is 445231152.

2511325440 is a `hidden beast` number, since 2 + 5 + 113 + 2 + 544 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 225720576 + 2285604864 = 15024^2 + 47808^2 .

It is a super-3 number, since 3×2511325440³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6139956 + ... + 6140364.

Almost surely, 2^2511325440 is an apocalyptic number.

2511325440 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 2511325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804483320).

2511325440 is an abundant number, since it is smaller than the sum of its proper divisors (7097641200).

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

2511325440 is a wasteful number, since it uses less digits than its factorization.

2511325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2511325440 is about 50113.1264241217. The cubic root of 2511325440 is about 1359.2551861741.

Adding to 2511325440 its reverse (445231152), we get a palindrome (2956556592).

The spelling of 2511325440 in words is "two billion, five hundred eleven million, three hundred twenty-five thousand, four hundred forty".