1934958496 has 96 divisors (see below), whose sum is σ = 4193441280. Its totient is φ = 874905600.

The previous prime is 1934958439. The next prime is 1934958511. The reversal of 1934958496 is 6948594391.

It is a self number, because there is not a number n which added to its sum of digits gives 1934958496.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3018336 + ... + 3018976.

It is an arithmetic number, because the mean of its divisors is an integer number (43681680).

Almost surely, 2^1934958496 is an apocalyptic number.

1934958496 is a gapful number since it is divisible by the number (16) 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 1934958496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096720640).

1934958496 is an abundant number, since it is smaller than the sum of its proper divisors (2258482784).

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

1934958496 is a wasteful number, since it uses less digits than its factorization.

1934958496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 870 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 58.

The square root of 1934958496 is about 43988.1631350981. The cubic root of 1934958496 is about 1246.1124009399.

The spelling of 1934958496 in words is "one billion, nine hundred thirty-four million, nine hundred fifty-eight thousand, four hundred ninety-six".