2025453994200 has 2304 divisors, whose sum is σ = 9746376192000. Its totient is φ = 380832399360.

The previous prime is 2025453994147. The next prime is 2025453994241. The reversal of 2025453994200 is 24993545202.

2025453994200 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 4 + 539 + 94 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1111054489 + ... + 1111056311.

It is an arithmetic number, because the mean of its divisors is an integer number (4230198000).

Almost surely, 2^{2025453994200} is an apocalyptic number.

2025453994200 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 2025453994200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873188096000).

2025453994200 is an abundant number, since it is smaller than the sum of its proper divisors (7720922197800).

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

2025453994200 is a wasteful number, since it uses less digits than its factorization.

2025453994200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

It can be divided in two parts, 2025453 and 994200, that added together give a triangular number (3019653 = T₂₄₅₇).

The spelling of 2025453994200 in words is "two trillion, twenty-five billion, four hundred fifty-three million, nine hundred ninety-four thousand, two hundred".