2025738000 has 480 divisors, whose sum is σ = 8322717312. Its totient is φ = 452736000.

The previous prime is 2025737999. The next prime is 2025738031. The reversal of 2025738000 is 8375202.

It is a super-2 number, since 2×2025738000² = 8207228889288000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2573607 + ... + 2574393.

Almost surely, 2^2025738000 is an apocalyptic number.

2025738000 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 2025738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161358656).

2025738000 is an abundant number, since it is smaller than the sum of its proper divisors (6296979312).

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

2025738000 is a wasteful number, since it uses less digits than its factorization.

2025738000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2025738000 is about 45008.1992530250. The cubic root of 2025738000 is about 1265.3026714602.

The spelling of 2025738000 in words is "two billion, twenty-five million, seven hundred thirty-eight thousand".