2705398920 has 256 divisors, whose sum is σ = 10755072000. Its totient is φ = 591452928.

The previous prime is 2705398909. The next prime is 2705398931. The reversal of 2705398920 is 298935072.

2705398920 is a `hidden beast` number, since 27 + 0 + 539 + 8 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2705398909) and next prime (2705398931).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 166101 + ... + 181659.

It is an arithmetic number, because the mean of its divisors is an integer number (42012000).

Almost surely, 2^2705398920 is an apocalyptic number.

2705398920 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 2705398920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377536000).

2705398920 is an abundant number, since it is smaller than the sum of its proper divisors (8049673080).

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

2705398920 is a wasteful number, since it uses less digits than its factorization.

2705398920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15609 (or 15599 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2705398920 is about 52013.4494145505. The cubic root of 2705398920 is about 1393.4041642423.

The spelling of 2705398920 in words is "two billion, seven hundred five million, three hundred ninety-eight thousand, nine hundred twenty".