1925033040 has 600 divisors, whose sum is σ = 8106481152. Its totient is φ = 414305280.

The previous prime is 1925033039. The next prime is 1925033081. The reversal of 1925033040 is 403305291.

1925033040 is a `hidden beast` number, since 1 + 92 + 503 + 30 + 40 = 666.

1925033040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1925032995 and 1925033013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 52027902 + ... + 52027938.

Almost surely, 2^1925033040 is an apocalyptic number.

1925033040 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 1925033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053240576).

1925033040 is an abundant number, since it is smaller than the sum of its proper divisors (6181448112).

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

1925033040 is a wasteful number, since it uses less digits than its factorization.

1925033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1925033040 is about 43875.1984610896. The cubic root of 1925033040 is about 1243.9780843456.

The spelling of 1925033040 in words is "one billion, nine hundred twenty-five million, thirty-three thousand, forty".