2250999011520 has 896 divisors, whose sum is σ = 10027207987200. Its totient is φ = 463189377024.

The previous prime is 2250999011489. The next prime is 2250999011557. The reversal of 2250999011520 is 251109990522.

2250999011520 is a `hidden beast` number, since 2 + 2 + 509 + 9 + 9 + 0 + 115 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23600086 + ... + 23695274.

Almost surely, 2^{2250999011520} is an apocalyptic number.

2250999011520 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 2250999011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013603993600).

2250999011520 is an abundant number, since it is smaller than the sum of its proper divisors (7776208975680).

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

2250999011520 is a wasteful number, since it uses less digits than its factorization.

2250999011520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95262 (or 95246 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 2250999011520 in words is "two trillion, two hundred fifty billion, nine hundred ninety-nine million, eleven thousand, five hundred twenty".