2045256000 has 224 divisors, whose sum is σ = 6973824000. Its totient is φ = 527616000.

The previous prime is 2045255987. The next prime is 2045256011. The reversal of 2045256000 is 6525402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 742626 + ... + 745374.

Almost surely, 2^2045256000 is an apocalyptic number.

2045256000 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 2045256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486912000).

2045256000 is an abundant number, since it is smaller than the sum of its proper divisors (4928568000).

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

2045256000 is a wasteful number, since it uses less digits than its factorization.

2045256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2045256000 is about 45224.5066308080. The cubic root of 2045256000 is about 1269.3534229141.

The spelling of 2045256000 in words is "two billion, forty-five million, two hundred fifty-six thousand".