2672645993280 has 448 divisors, whose sum is σ = 9809406197760. Its totient is φ = 684275558400.

The previous prime is 2672645993263. The next prime is 2672645993317. The reversal of 2672645993280 is 823995462762.

It is a happy number.

2672645993280 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 6 + 4 + 599 + 32 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33976395 + ... + 34054965.

Almost surely, 2^{2672645993280} is an apocalyptic number.

2672645993280 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 2672645993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904703098880).

2672645993280 is an abundant number, since it is smaller than the sum of its proper divisors (7136760204480).

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

2672645993280 is a wasteful number, since it uses less digits than its factorization.

2672645993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78755 (or 78739 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 2672645993280 in words is "two trillion, six hundred seventy-two billion, six hundred forty-five million, nine hundred ninety-three thousand, two hundred eighty".