2264849892480 has 1024 divisors, whose sum is σ = 8967200256000. Its totient is φ = 474678558720.

The previous prime is 2264849892469. The next prime is 2264849892493. The reversal of 2264849892480 is 842989484622.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1434356331 + ... + 1434357909.

It is an arithmetic number, because the mean of its divisors is an integer number (8757031500).

Almost surely, 2^{2264849892480} is an apocalyptic number.

2264849892480 is a gapful number since it is divisible by the number (20) 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 2264849892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483600128000).

2264849892480 is an abundant number, since it is smaller than the sum of its proper divisors (6702350363520).

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

2264849892480 is a wasteful number, since it uses less digits than its factorization.

2264849892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 66.

The spelling of 2264849892480 in words is "two trillion, two hundred sixty-four billion, eight hundred forty-nine million, eight hundred ninety-two thousand, four hundred eighty".