2254946640 has 320 divisors, whose sum is σ = 7682294016. Its totient is φ = 544997376.

The previous prime is 2254946563. The next prime is 2254946641. The reversal of 2254946640 is 466494522.

It is a junction number, because it is equal to n+sod(n) for n = 2254946592 and 2254946601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254946641) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19955224 + ... + 19955336.

Almost surely, 2^2254946640 is an apocalyptic number.

2254946640 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 2254946640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841147008).

2254946640 is an abundant number, since it is smaller than the sum of its proper divisors (5427347376).

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

2254946640 is a wasteful number, since it uses less digits than its factorization.

2254946640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 2254946640 is about 47486.2784391449. The cubic root of 2254946640 is about 1311.3302804686.

The spelling of 2254946640 in words is "two billion, two hundred fifty-four million, nine hundred forty-six thousand, six hundred forty".