1881339264 has 256 divisors, whose sum is σ = 6681408000. Its totient is φ = 509110272.

The previous prime is 1881339263. The next prime is 1881339307. The reversal of 1881339264 is 4629331881.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1881339263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457602 + ... + 461694.

It is an arithmetic number, because the mean of its divisors is an integer number (26099250).

Almost surely, 2^1881339264 is an apocalyptic number.

1881339264 is a gapful number since it is divisible by the number (14) 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 1881339264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340704000).

1881339264 is an abundant number, since it is smaller than the sum of its proper divisors (4800068736).

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

1881339264 is a wasteful number, since it uses less digits than its factorization.

1881339264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 4124 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1881339264 is about 43374.4079383223. The cubic root of 1881339264 is about 1234.4941601220.

The spelling of 1881339264 in words is "one billion, eight hundred eighty-one million, three hundred thirty-nine thousand, two hundred sixty-four".