2251515040 has 48 divisors (see below), whose sum is σ = 5343141888. Its totient is φ = 896553216.

The previous prime is 2251515031. The next prime is 2251515043. The reversal of 2251515040 is 405151522.

It is a junction number, because it is equal to n+sod(n) for n = 2251514996 and 2251515014.

It is not an unprimeable number, because it can be changed into a prime (2251515043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4129 + ... + 67231.

It is an arithmetic number, because the mean of its divisors is an integer number (111315456).

Almost surely, 2^2251515040 is an apocalyptic number.

2251515040 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 2251515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671570944).

2251515040 is an abundant number, since it is smaller than the sum of its proper divisors (3091626848).

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

2251515040 is a wasteful number, since it uses less digits than its factorization.

2251515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63341 (or 63333 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 2251515040 is about 47450.1321389098. The cubic root of 2251515040 is about 1310.6647443036.

Adding to 2251515040 its reverse (405151522), we get a palindrome (2656666562).

The spelling of 2251515040 in words is "two billion, two hundred fifty-one million, five hundred fifteen thousand, forty".