2283997824 has 256 divisors, whose sum is σ = 7025760000. Its totient is φ = 739031040.

The previous prime is 2283997823. The next prime is 2283997831. The reversal of 2283997824 is 4287993822.

It is a happy number.

2283997824 is a `hidden beast` number, since 228 + 399 + 7 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2283997823) 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, 11477277 + ... + 11477475.

It is an arithmetic number, because the mean of its divisors is an integer number (27444375).

Almost surely, 2^2283997824 is an apocalyptic number.

2283997824 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 2283997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512880000).

2283997824 is an abundant number, since it is smaller than the sum of its proper divisors (4741762176).

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

2283997824 is an frugal number, since it uses more digits than its factorization.

2283997824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 245 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2283997824 is about 47791.1898156972. The cubic root of 2283997824 is about 1316.9376945530.

The spelling of 2283997824 in words is "two billion, two hundred eighty-three million, nine hundred ninety-seven thousand, eight hundred twenty-four".