2264371824 has 80 divisors (see below), whose sum is σ = 6872310144. Its totient is φ = 633388800.

The previous prime is 2264371819. The next prime is 2264371829. The reversal of 2264371824 is 4281734622.

It is a happy number.

2264371824 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2264371819) and next prime (2264371829).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264371829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158082 + ... + 171809.

Almost surely, 2^2264371824 is an apocalyptic number.

2264371824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2264371824 is an abundant number, since it is smaller than the sum of its proper divisors (4607938320).

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

2264371824 is a wasteful number, since it uses less digits than its factorization.

2264371824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329926 (or 329920 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 2264371824 is about 47585.4160851831. The cubic root of 2264371824 is about 1313.1547654759.

The spelling of 2264371824 in words is "two billion, two hundred sixty-four million, three hundred seventy-one thousand, eight hundred twenty-four".