2291250151344 has 480 divisors, whose sum is σ = 7520668646400. Its totient is φ = 588356904960.

The previous prime is 2291250151321. The next prime is 2291250151349. The reversal of 2291250151344 is 4431510521922.

It is not an unprimeable number, because it can be changed into a prime (2291250151349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1399663294 + ... + 1399664930.

It is an arithmetic number, because the mean of its divisors is an integer number (15668059680).

Almost surely, 2^{2291250151344} is an apocalyptic number.

2291250151344 is a gapful number since it is divisible by the number (24) 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 2291250151344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760334323200).

2291250151344 is an abundant number, since it is smaller than the sum of its proper divisors (5229418495056).

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

2291250151344 is a wasteful number, since it uses less digits than its factorization.

2291250151344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 2291250151344 in words is "two trillion, two hundred ninety-one billion, two hundred fifty million, one hundred fifty-one thousand, three hundred forty-four".