2253829704 has 128 divisors (see below), whose sum is σ = 6997401600. Its totient is φ = 590353920.

The previous prime is 2253829693. The next prime is 2253829709. The reversal of 2253829704 is 4079283522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2253829709) 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, 87564 + ... + 110340.

It is an arithmetic number, because the mean of its divisors is an integer number (54667200).

Almost surely, 2^2253829704 is an apocalyptic number.

2253829704 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 2253829704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498700800).

2253829704 is an abundant number, since it is smaller than the sum of its proper divisors (4743571896).

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

2253829704 is a wasteful number, since it uses less digits than its factorization.

2253829704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22843 (or 22839 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2253829704 is about 47474.5163640452. The cubic root of 2253829704 is about 1311.1137322705.

The spelling of 2253829704 in words is "two billion, two hundred fifty-three million, eight hundred twenty-nine thousand, seven hundred four".