2511522240 has 112 divisors (see below), whose sum is σ = 8168700960. Its totient is φ = 653393920.

The previous prime is 2511522173. The next prime is 2511522241. The reversal of 2511522240 is 422251152.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2511522240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2511522241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7456 + ... + 71264.

It is an arithmetic number, because the mean of its divisors is an integer number (72934830).

Almost surely, 2^2511522240 is an apocalyptic number.

2511522240 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 2511522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084350480).

2511522240 is an abundant number, since it is smaller than the sum of its proper divisors (5657178720).

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

2511522240 is a wasteful number, since it uses less digits than its factorization.

2511522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63870 (or 63860 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2511522240 is about 50115.0899430501. The cubic root of 2511522240 is about 1359.2906912543.

Adding to 2511522240 its reverse (422251152), we get a palindrome (2933773392).

The spelling of 2511522240 in words is "two billion, five hundred eleven million, five hundred twenty-two thousand, two hundred forty".