2045297280 has 128 divisors (see below), whose sum is σ = 7020961920. Its totient is φ = 503451648.

The previous prime is 2045297273. The next prime is 2045297299. The reversal of 2045297280 is 827925402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) 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 (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16012 + ... + 65931.

It is an arithmetic number, because the mean of its divisors is an integer number (54851265).

Almost surely, 2^2045297280 is an apocalyptic number.

2045297280 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 2045297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510480960).

2045297280 is an abundant number, since it is smaller than the sum of its proper divisors (4975664640).

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

2045297280 is a wasteful number, since it uses less digits than its factorization.

2045297280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81978 (or 81966 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2045297280 is about 45224.9630182270. The cubic root of 2045297280 is about 1269.3619627671.

The spelling of 2045297280 in words is "two billion, forty-five million, two hundred ninety-seven thousand, two hundred eighty".