2025194400 has 180 divisors, whose sum is σ = 7385726502. Its totient is φ = 540034560.

The previous prime is 2025194393. The next prime is 2025194407. The reversal of 2025194400 is 44915202.

2025194400 is a `hidden beast` number, since 2 + 0 + 251 + 9 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2025194393) and next prime (2025194407).

It can be written as a sum of positive squares in 3 ways, for example, as 1599680016 + 425514384 = 39996^2 + 20628^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (2025194407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 49174 + ... + 80426.

Almost surely, 2^2025194400 is an apocalyptic number.

2025194400 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 2025194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692863251).

2025194400 is an abundant number, since it is smaller than the sum of its proper divisors (5360532102).

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

2025194400 is a wasteful number, since it uses less digits than its factorization.

2025194400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31285 (or 31263 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2025194400 is about 45002.1599481625. The cubic root of 2025194400 is about 1265.1894814251.

The spelling of 2025194400 in words is "two billion, twenty-five million, one hundred ninety-four thousand, four hundred".