2705312988 has 72 divisors (see below), whose sum is σ = 7833713888. Its totient is φ = 771130368.

The previous prime is 2705312983. The next prime is 2705313019. The reversal of 2705312988 is 8892135072.

It is a happy number.

2705312988 is a `hidden beast` number, since 27 + 0 + 531 + 2 + 98 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2705312983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96720 + ... + 121512.

Almost surely, 2^2705312988 is an apocalyptic number.

2705312988 is a gapful number since it is divisible by the number (28) 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 2705312988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916856944).

2705312988 is an abundant number, since it is smaller than the sum of its proper divisors (5128400900).

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

2705312988 is a wasteful number, since it uses less digits than its factorization.

2705312988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25243 (or 25238 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2705312988 is about 52012.6233524132. The cubic root of 2705312988 is about 1393.3894111162.

The spelling of 2705312988 in words is "two billion, seven hundred five million, three hundred twelve thousand, nine hundred eighty-eight".