2673259680 has 384 divisors, whose sum is σ = 10584000000. Its totient is φ = 563576832.

The previous prime is 2673259679. The next prime is 2673259711. The reversal of 2673259680 is 869523762.

2673259680 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, 2139696 + ... + 2140944.

It is an arithmetic number, because the mean of its divisors is an integer number (27562500).

Almost surely, 2^2673259680 is an apocalyptic number.

2673259680 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 2673259680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292000000).

2673259680 is an abundant number, since it is smaller than the sum of its proper divisors (7910740320).

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

2673259680 is a wasteful number, since it uses less digits than its factorization.

2673259680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 2673259680 is about 51703.5751181676. The cubic root of 2673259680 is about 1387.8644431836.

The spelling of 2673259680 in words is "two billion, six hundred seventy-three million, two hundred fifty-nine thousand, six hundred eighty".