2045054880 has 360 divisors, whose sum is σ = 7755717060. Its totient is φ = 490659840.

The previous prime is 2045054863. The next prime is 2045054881. The reversal of 2045054880 is 884505402.

2045054880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2026080144 + 18974736 = 45012^2 + 4356^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2045054881) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21082992 + ... + 21083088.

Almost surely, 2^2045054880 is an apocalyptic number.

2045054880 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 2045054880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877858530).

2045054880 is an abundant number, since it is smaller than the sum of its proper divisors (5710662180).

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

2045054880 is an equidigital number, since it uses as much as digits as its factorization.

2045054880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 2045054880 is about 45222.2830029622. The cubic root of 2045054880 is about 1269.3118143120.

The spelling of 2045054880 in words is "two billion, forty-five million, fifty-four thousand, eight hundred eighty".