2705146920 has 144 divisors (see below), whose sum is σ = 10227178260. Its totient is φ = 618315264.

The previous prime is 2705146919. The next prime is 2705146921. The reversal of 2705146920 is 296415072.

It is an interprime number because it is at equal distance from previous prime (2705146919) and next prime (2705146921).

It can be written as a sum of positive squares in 2 ways, for example, as 2612640996 + 92505924 = 51114^2 + 9618^2 .

It is a super-3 number, since 3×2705146920³ (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2705146921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59037 + ... + 94316.

Almost surely, 2^2705146920 is an apocalyptic number.

2705146920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2705146920 is an abundant number, since it is smaller than the sum of its proper divisors (7522031340).

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

2705146920 is a wasteful number, since it uses less digits than its factorization.

2705146920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153384 (or 153370 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2705146920 is about 52011.0269077625. The cubic root of 2705146920 is about 1393.3608990576.

The spelling of 2705146920 in words is "two billion, seven hundred five million, one hundred forty-six thousand, nine hundred twenty".