1925058240 has 672 divisors, whose sum is σ = 8267785344. Its totient is φ = 401080320.

The previous prime is 1925058229. The next prime is 1925058269. The reversal of 1925058240 is 428505291.

1925058240 is a `hidden beast` number, since 19 + 25 + 0 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1925058195 and 1925058204.

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, 14051452 + ... + 14051588.

It is an arithmetic number, because the mean of its divisors is an integer number (12303252).

Almost surely, 2^1925058240 is an apocalyptic number.

1925058240 is a gapful number since it is divisible by the number (10) 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 1925058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133892672).

1925058240 is an abundant number, since it is smaller than the sum of its proper divisors (6342727104).

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

1925058240 is a wasteful number, since it uses less digits than its factorization.

1925058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1925058240 is about 43875.4856383380. The cubic root of 1925058240 is about 1243.9835124967.

The spelling of 1925058240 in words is "one billion, nine hundred twenty-five million, fifty-eight thousand, two hundred forty".