1942567296 has 128 divisors (see below), whose sum is σ = 5465241600. Its totient is φ = 609638400.

The previous prime is 1942567273. The next prime is 1942567301. The reversal of 1942567296 is 6927652491.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 1319841 + ... + 1321311.

It is an arithmetic number, because the mean of its divisors is an integer number (42697200).

Almost surely, 2^1942567296 is an apocalyptic number.

1942567296 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 1942567296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732620800).

1942567296 is an abundant number, since it is smaller than the sum of its proper divisors (3522674304).

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

1942567296 is a wasteful number, since it uses less digits than its factorization.

1942567296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1676 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 1942567296 is about 44074.5651822000. The cubic root of 1942567296 is about 1247.7436192608.

The spelling of 1942567296 in words is "one billion, nine hundred forty-two million, five hundred sixty-seven thousand, two hundred ninety-six".