2675729280 has 512 divisors, whose sum is σ = 10575360000. Its totient is φ = 573210624.

The previous prime is 2675729279. The next prime is 2675729291. The reversal of 2675729280 is 829275762.

2675729280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11195401 + ... + 11195639.

It is an arithmetic number, because the mean of its divisors is an integer number (20655000).

Almost surely, 2^2675729280 is an apocalyptic number.

2675729280 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 2675729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287680000).

2675729280 is an abundant number, since it is smaller than the sum of its proper divisors (7899630720).

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

2675729280 is a wasteful number, since it uses less digits than its factorization.

2675729280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 2675729280 is about 51727.4518993542. The cubic root of 2675729280 is about 1388.2916887602.

The spelling of 2675729280 in words is "two billion, six hundred seventy-five million, seven hundred twenty-nine thousand, two hundred eighty".