2264139864 has 384 divisors, whose sum is σ = 7852320000. Its totient is φ = 608440896.

The previous prime is 2264139863. The next prime is 2264139869. The reversal of 2264139864 is 4689314622.

2264139864 is a `hidden beast` number, since 226 + 413 + 9 + 8 + 6 + 4 = 666.

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 (2264139863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16288707 + ... + 16288845.

It is an arithmetic number, because the mean of its divisors is an integer number (20448750).

Almost surely, 2^2264139864 is an apocalyptic number.

2264139864 is a gapful number since it is divisible by the number (24) 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 2264139864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926160000).

2264139864 is an abundant number, since it is smaller than the sum of its proper divisors (5588180136).

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

2264139864 is a wasteful number, since it uses less digits than its factorization.

2264139864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 170 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2264139864 is about 47582.9787213873. The cubic root of 2264139864 is about 1313.1099245215.

The spelling of 2264139864 in words is "two billion, two hundred sixty-four million, one hundred thirty-nine thousand, eight hundred sixty-four".