2258978160 has 80 divisors (see below), whose sum is σ = 7008122880. Its totient is φ = 601939200.

The previous prime is 2258978149. The next prime is 2258978177. The reversal of 2258978160 is 618798522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419485 + ... + 424835.

It is an arithmetic number, because the mean of its divisors is an integer number (87601536).

Almost surely, 2^2258978160 is an apocalyptic number.

2258978160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2258978160 is an abundant number, since it is smaller than the sum of its proper divisors (4749144720).

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

2258978160 is a wasteful number, since it uses less digits than its factorization.

2258978160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7126 (or 7120 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 2258978160 is about 47528.7087979465. The cubic root of 2258978160 is about 1312.1113051267. Note that the first 3 decimals are identical.

The spelling of 2258978160 in words is "two billion, two hundred fifty-eight million, nine hundred seventy-eight thousand, one hundred sixty".