2045574000 has 560 divisors, whose sum is σ = 7865193024. Its totient is φ = 513216000.

The previous prime is 2045573983. The next prime is 2045574001. The reversal of 2045574000 is 4755402.

2045574000 is a `hidden beast` number, since 204 + 5 + 57 + 400 + 0 = 666.

It is a super-3 number, since 3×2045574000³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045574001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 33533970 + ... + 33534030.

Almost surely, 2^2045574000 is an apocalyptic number.

2045574000 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 2045574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932596512).

2045574000 is an abundant number, since it is smaller than the sum of its proper divisors (5819619024).

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

2045574000 is an equidigital number, since it uses as much as digits as its factorization.

2045574000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2045574000 is about 45228.0222870733. The cubic root of 2045574000 is about 1269.4192066057.

The spelling of 2045574000 in words is "two billion, forty-five million, five hundred seventy-four thousand".