2677120320 has 448 divisors, whose sum is σ = 10224893952. Its totient is φ = 580608000.

The previous prime is 2677120319. The next prime is 2677120331. The reversal of 2677120320 is 230217762.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 14790630 + ... + 14790810.

It is an arithmetic number, because the mean of its divisors is an integer number (22823424).

Almost surely, 2^2677120320 is an apocalyptic number.

2677120320 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 2677120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112446976).

2677120320 is an abundant number, since it is smaller than the sum of its proper divisors (7547773632).

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

2677120320 is a wasteful number, since it uses less digits than its factorization.

2677120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 2677120320 is about 51740.8960107959. The cubic root of 2677120320 is about 1388.5322256395.

The spelling of 2677120320 in words is "two billion, six hundred seventy-seven million, one hundred twenty thousand, three hundred twenty".