2677050720 has 144 divisors (see below), whose sum is σ = 9358457472. Its totient is φ = 696453120.

The previous prime is 2677050713. The next prime is 2677050749. The reversal of 2677050720 is 270507762.

2677050720 is a `hidden beast` number, since 2 + 67 + 70 + 507 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36369 + ... + 81711.

It is an arithmetic number, because the mean of its divisors is an integer number (64989288).

Almost surely, 2^2677050720 is an apocalyptic number.

2677050720 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 2677050720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679228736).

2677050720 is an abundant number, since it is smaller than the sum of its proper divisors (6681406752).

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

2677050720 is a wasteful number, since it uses less digits than its factorization.

2677050720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45405 (or 45394 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 2677050720 is about 51740.2234243340. The cubic root of 2677050720 is about 1388.5201924759.

The spelling of 2677050720 in words is "two billion, six hundred seventy-seven million, fifty thousand, seven hundred twenty".