2025191400 has 192 divisors, whose sum is σ = 6620469120. Its totient is φ = 511104000.

The previous prime is 2025191353. The next prime is 2025191407. The reversal of 2025191400 is 41915202.

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

It is a cake number, because a cake can be divided into 2025191400 parts by 2299 planar cuts.

It is not an unprimeable number, because it can be changed into a prime (2025191407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1393074 + ... + 1394526.

It is an arithmetic number, because the mean of its divisors is an integer number (34481610).

Almost surely, 2^2025191400 is an apocalyptic number.

2025191400 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 2025191400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310234560).

2025191400 is an abundant number, since it is smaller than the sum of its proper divisors (4595277720).

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

2025191400 is a wasteful number, since it uses less digits than its factorization.

2025191400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2025191400 is about 45002.1266164167. The cubic root of 2025191400 is about 1265.1888566999.

The spelling of 2025191400 in words is "two billion, twenty-five million, one hundred ninety-one thousand, four hundred".