2511120440 has 128 divisors (see below), whose sum is σ = 6153537600. Its totient is φ = 919941120.

The previous prime is 2511120421. The next prime is 2511120463. The reversal of 2511120440 is 440211152.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1759007 + ... + 1760433.

Almost surely, 2^2511120440 is an apocalyptic number.

2511120440 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 2511120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076768800).

2511120440 is an abundant number, since it is smaller than the sum of its proper divisors (3642417160).

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

2511120440 is a wasteful number, since it uses less digits than its factorization.

2511120440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2511120440 is about 50111.0810100920. The cubic root of 2511120440 is about 1359.2181997431.

Adding to 2511120440 its reverse (440211152), we get a palindrome (2951331592).

The spelling of 2511120440 in words is "two billion, five hundred eleven million, one hundred twenty thousand, four hundred forty".