2250638013680 has 40 divisors (see below), whose sum is σ = 5980266723552. Its totient is φ = 771647318784.

The previous prime is 2250638013607. The next prime is 2250638013697. The reversal of 2250638013680 is 863108360522.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2009497667 + ... + 2009498786.

Almost surely, 2^{2250638013680} is an apocalyptic number.

2250638013680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250638013680 is an abundant number, since it is smaller than the sum of its proper divisors (3729628709872).

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

2250638013680 is a wasteful number, since it uses less digits than its factorization.

2250638013680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018996473 (or 4018996467 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 2250638013680 in words is "two trillion, two hundred fifty billion, six hundred thirty-eight million, thirteen thousand, six hundred eighty".