2250560664040 has 128 divisors (see below), whose sum is σ = 5471573627520. Its totient is φ = 828193766400.

The previous prime is 2250560663977. The next prime is 2250560664119. The reversal of 2250560664040 is 404660650522.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2250560663984 and 2250560664002.

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, 196258387 + ... + 196269853.

It is an arithmetic number, because the mean of its divisors is an integer number (42746668965).

Almost surely, 2^{2250560664040} is an apocalyptic number.

2250560664040 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 2250560664040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735786813760).

2250560664040 is an abundant number, since it is smaller than the sum of its proper divisors (3221012963480).

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

2250560664040 is a wasteful number, since it uses less digits than its factorization.

2250560664040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12723 (or 12719 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 2250560664040 in words is "two trillion, two hundred fifty billion, five hundred sixty million, six hundred sixty-four thousand, forty".