1925742240 has 144 divisors (see below), whose sum is σ = 6632425800. Its totient is φ = 508778496.

The previous prime is 1925742239. The next prime is 1925742257. The reversal of 1925742240 is 422475291.

1925742240 is a `hidden beast` number, since 192 + 5 + 7 + 422 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1911088656 + 14653584 = 43716^2 + 3828^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 1925742195 and 1925742204.

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, 150826 + ... + 163094.

Almost surely, 2^1925742240 is an apocalyptic number.

1925742240 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 1925742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316212900).

1925742240 is an abundant number, since it is smaller than the sum of its proper divisors (4706683560).

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

1925742240 is a wasteful number, since it uses less digits than its factorization.

1925742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12399 (or 12388 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1925742240 is about 43883.2797315789. The cubic root of 1925742240 is about 1244.1308299385.

The spelling of 1925742240 in words is "one billion, nine hundred twenty-five million, seven hundred forty-two thousand, two hundred forty".