2045260800 has 528 divisors, whose sum is σ = 8224027200. Its totient is φ = 493977600.

The previous prime is 2045260799. The next prime is 2045260843. The reversal of 2045260800 is 80625402.

2045260800 is a `hidden beast` number, since 2 + 0 + 4 + 52 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7603066 + ... + 7603334.

Almost surely, 2^2045260800 is an apocalyptic number.

2045260800 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 2045260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112013600).

2045260800 is an abundant number, since it is smaller than the sum of its proper divisors (6178766400).

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

2045260800 is a wasteful number, since it uses less digits than its factorization.

2045260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2045260800 is about 45224.5596993492. The cubic root of 2045260800 is about 1269.3544159261.

The spelling of 2045260800 in words is "two billion, forty-five million, two hundred sixty thousand, eight hundred".