2253920928 has 96 divisors (see below), whose sum is σ = 7159549824. Its totient is φ = 606093312.

The previous prime is 2253920927. The next prime is 2253920941. The reversal of 2253920928 is 8290293522.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2253920928.

It is not an unprimeable number, because it can be changed into a prime (2253920927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87225 + ... + 110072.

It is an arithmetic number, because the mean of its divisors is an integer number (74578644).

Almost surely, 2^2253920928 is an apocalyptic number.

2253920928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2253920928 is an abundant number, since it is smaller than the sum of its proper divisors (4905628896).

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

2253920928 is a wasteful number, since it uses less digits than its factorization.

2253920928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197334 (or 197326 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2253920928 is about 47475.4771224050. The cubic root of 2253920928 is about 1311.1314211884.

The spelling of 2253920928 in words is "two billion, two hundred fifty-three million, nine hundred twenty thousand, nine hundred twenty-eight".