2254005795672 has 256 divisors, whose sum is σ = 6739313011200. Its totient is φ = 695514193920.

The previous prime is 2254005795661. The next prime is 2254005795673. The reversal of 2254005795672 is 2765975004522.

2254005795672 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 0 + 0 + 5 + 79 + 567 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254005795673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54335883 + ... + 54377349.

It is an arithmetic number, because the mean of its divisors is an integer number (26325441450).

Almost surely, 2^{2254005795672} 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 2254005795672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369656505600).

2254005795672 is an abundant number, since it is smaller than the sum of its proper divisors (4485307215528).

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

2254005795672 is a wasteful number, since it uses less digits than its factorization.

2254005795672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41743 (or 41733 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 2254005795672 in words is "two trillion, two hundred fifty-four billion, five million, seven hundred ninety-five thousand, six hundred seventy-two".