2025344400 has 120 divisors (see below), whose sum is σ = 6497959104. Its totient is φ = 539251200.

The previous prime is 2025344393. The next prime is 2025344467. The reversal of 2025344400 is 44435202.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2025344400² = 8204039877222720000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1339645 + ... + 1341155.

Almost surely, 2^2025344400 is an apocalyptic number.

2025344400 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 2025344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248979552).

2025344400 is an abundant number, since it is smaller than the sum of its proper divisors (4472614704).

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

2025344400 is a wasteful number, since it uses less digits than its factorization.

2025344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2025344400 is about 45003.8265039763. The cubic root of 2025344400 is about 1265.2207169017.

Adding to 2025344400 its reverse (44435202), we get a palindrome (2069779602).

The spelling of 2025344400 in words is "two billion, twenty-five million, three hundred forty-four thousand, four hundred".