1934889264 has 360 divisors, whose sum is σ = 6969585168. Its totient is φ = 495452160.

The previous prime is 1934889233. The next prime is 1934889311. The reversal of 1934889264 is 4629884391.

1934889264 is a `hidden beast` number, since 19 + 3 + 488 + 92 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1934889264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7528624 + ... + 7528880.

Almost surely, 2^1934889264 is an apocalyptic number.

1934889264 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 1934889264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484792584).

1934889264 is an abundant number, since it is smaller than the sum of its proper divisors (5034695904).

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

1934889264 is a wasteful number, since it uses less digits than its factorization.

1934889264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 1934889264 is about 43987.3761890841. The cubic root of 1934889264 is about 1246.0975389704.

It can be divided in two parts, 1934 and 889264, that added together give a palindrome (891198).

The spelling of 1934889264 in words is "one billion, nine hundred thirty-four million, eight hundred eighty-nine thousand, two hundred sixty-four".