2250249777252 has 144 divisors (see below), whose sum is σ = 6218552051712. Its totient is φ = 683018219520.

The previous prime is 2250249777233. The next prime is 2250249777277. The reversal of 2250249777252 is 2527779420522.

2250249777252 is a `hidden beast` number, since 2 + 2 + 502 + 49 + 7 + 77 + 25 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91375813 + ... + 91400435.

It is an arithmetic number, because the mean of its divisors is an integer number (43184389248).

Almost surely, 2^{2250249777252} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250249777252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109276025856).

2250249777252 is an abundant number, since it is smaller than the sum of its proper divisors (3968302274460).

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

2250249777252 is a wasteful number, since it uses less digits than its factorization.

2250249777252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29498 (or 29493 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 2250249777252 in words is "two trillion, two hundred fifty billion, two hundred forty-nine million, seven hundred seventy-seven thousand, two hundred fifty-two".