1917824940 has 72 divisors (see below), whose sum is σ = 5952714768. Its totient is φ = 499524480.

The previous prime is 1917824929. The next prime is 1917824947. The reversal of 1917824940 is 494287191.

It is a happy number.

1917824940 is a `hidden beast` number, since 1 + 91 + 78 + 2 + 494 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1917824947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116151 + ... + 131630.

It is an arithmetic number, because the mean of its divisors is an integer number (82676594).

Almost surely, 2^1917824940 is an apocalyptic number.

1917824940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1917824940 is an abundant number, since it is smaller than the sum of its proper divisors (4034889828).

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

1917824940 is a wasteful number, since it uses less digits than its factorization.

1917824940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247839 (or 247834 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1917824940 is about 43792.9782042738. The cubic root of 1917824940 is about 1242.4234905191.

The spelling of 1917824940 in words is "one billion, nine hundred seventeen million, eight hundred twenty-four thousand, nine hundred forty".