2045260998720 has 224 divisors, whose sum is σ = 7218604003200. Its totient is φ = 545147615232.

The previous prime is 2045260998709. The next prime is 2045260998757. The reversal of 2045260998720 is 278990625402.

2045260998720 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 2 + 609 + 9 + 8 + 7 + 20 = 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18772242 + ... + 18880878.

Almost surely, 2^{2045260998720} is an apocalyptic number.

2045260998720 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 2045260998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609302001600).

2045260998720 is an abundant number, since it is smaller than the sum of its proper divisors (5173343004480).

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

2045260998720 is a wasteful number, since it uses less digits than its factorization.

2045260998720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110842 (or 110826 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2045260998720 in words is "two trillion, forty-five billion, two hundred sixty million, nine hundred ninety-eight thousand, seven hundred twenty".