1934591040 has 196 divisors, whose sum is σ = 6907790604. Its totient is φ = 515828736.

The previous prime is 1934591033. The next prime is 1934591063. The reversal of 1934591040 is 401954391.

It is a happy number.

1934591040 is a `hidden beast` number, since 193 + 459 + 10 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 554319936 + 1380271104 = 23544^2 + 37152^2 .

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 = 1934590986 and 1934591004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 229134 + ... + 237426.

Almost surely, 2^1934591040 is an apocalyptic number.

1934591040 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 1934591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453895302).

1934591040 is an abundant number, since it is smaller than the sum of its proper divisors (4973199564).

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

1934591040 is an frugal number, since it uses more digits than its factorization.

1934591040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 8303 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1934591040 is about 43983.9861767894. The cubic root of 1934591040 is about 1246.0335154466.

The spelling of 1934591040 in words is "one billion, nine hundred thirty-four million, five hundred ninety-one thousand, forty".