2677445706 has 96 divisors (see below), whose sum is σ = 6076244160. Its totient is φ = 785121792.

The previous prime is 2677445671. The next prime is 2677445723. The reversal of 2677445706 is 6075447762.

It is a happy number.

2677445706 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2440150 + ... + 2441246.

It is an arithmetic number, because the mean of its divisors is an integer number (63294210).

Almost surely, 2^2677445706 is an apocalyptic number.

2677445706 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2677445706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038122080).

2677445706 is an abundant number, since it is smaller than the sum of its proper divisors (3398798454).

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

2677445706 is a wasteful number, since it uses less digits than its factorization.

2677445706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The square root of 2677445706 is about 51744.0402945112. The cubic root of 2677445706 is about 1388.5884789502.

The spelling of 2677445706 in words is "two billion, six hundred seventy-seven million, four hundred forty-five thousand, seven hundred six".