2254406640 has 160 divisors (see below), whose sum is σ = 7544517120. Its totient is φ = 555168768.

The previous prime is 2254406599. The next prime is 2254406657. The reversal of 2254406640 is 466044522.

2254406640 is digitally balanced in base 2, because in such base 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 31 ways as a sum of consecutive naturals, for example, 153039 + ... + 167121.

It is an arithmetic number, because the mean of its divisors is an integer number (47153232).

Almost surely, 2^2254406640 is an apocalyptic number.

2254406640 is a gapful number since it is divisible by the number (20) 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 2254406640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772258560).

2254406640 is an abundant number, since it is smaller than the sum of its proper divisors (5290110480).

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

2254406640 is a wasteful number, since it uses less digits than its factorization.

2254406640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14151 (or 14145 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 2254406640 is about 47480.5922456744. The cubic root of 2254406640 is about 1311.2255958209.

The spelling of 2254406640 in words is "two billion, two hundred fifty-four million, four hundred six thousand, six hundred forty".