2254150642032 has 200 divisors, whose sum is σ = 6777434153952. Its totient is φ = 722731161600.

The previous prime is 2254150641983. The next prime is 2254150642057. The reversal of 2254150642032 is 2302460514522.

2254150642032 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 1 + 5 + 0 + 642 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3473908 + ... + 4071404.

Almost surely, 2^{2254150642032} 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 2254150642032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388717076976).

2254150642032 is an abundant number, since it is smaller than the sum of its proper divisors (4523283511920).

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

2254150642032 is a wasteful number, since it uses less digits than its factorization.

2254150642032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597629 (or 597614 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2254150642032 in words is "two trillion, two hundred fifty-four billion, one hundred fifty million, six hundred forty-two thousand, thirty-two".