2254355664 has 80 divisors (see below), whose sum is σ = 6403399680. Its totient is φ = 677738880.

The previous prime is 2254355659. The next prime is 2254355699. The reversal of 2254355664 is 4665534522.

2254355664 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50247 + ... + 83865.

It is an arithmetic number, because the mean of its divisors is an integer number (80042496).

Almost surely, 2^2254355664 is an apocalyptic number.

2254355664 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 2254355664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201699840).

2254355664 is an abundant number, since it is smaller than the sum of its proper divisors (4149044016).

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

2254355664 is a wasteful number, since it uses less digits than its factorization.

2254355664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33768 (or 33762 counting only the distinct ones).

The product of its digits is 864000, while the sum is 42.

The square root of 2254355664 is about 47480.0554338345. The cubic root of 2254355664 is about 1311.2157127266.

The spelling of 2254355664 in words is "two billion, two hundred fifty-four million, three hundred fifty-five thousand, six hundred sixty-four".