2250780635952 has 160 divisors (see below), whose sum is σ = 6556436789760. Its totient is φ = 739201800960.

The previous prime is 2250780635951. The next prime is 2250780635989. The reversal of 2250780635952 is 2595360870522.

It is a happy number.

2250780635952 is a `hidden beast` number, since 2 + 2 + 507 + 80 + 6 + 3 + 5 + 9 + 52 = 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 a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2250780635951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8637327 + ... + 8894097.

It is an arithmetic number, because the mean of its divisors is an integer number (40977729936).

Almost surely, 2^{2250780635952} 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 2250780635952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278218394880).

2250780635952 is an abundant number, since it is smaller than the sum of its proper divisors (4305656153808).

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

2250780635952 is a wasteful number, since it uses less digits than its factorization.

2250780635952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257088 (or 257076 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 2250780635952 in words is "two trillion, two hundred fifty billion, seven hundred eighty million, six hundred thirty-five thousand, nine hundred fifty-two".