2705420250 has 320 divisors, whose sum is σ = 8371883520. Its totient is φ = 647740800.

The previous prime is 2705420233. The next prime is 2705420257. The reversal of 2705420250 is 520245072.

2705420250 is a `hidden beast` number, since 2 + 70 + 542 + 0 + 2 + 50 = 666.

2705420250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2705420250² = 14638597458220125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2705420257) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11319631 + ... + 11319869.

It is an arithmetic number, because the mean of its divisors is an integer number (26162136).

Almost surely, 2^2705420250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2705420250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185941760).

2705420250 is an abundant number, since it is smaller than the sum of its proper divisors (5666463270).

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

2705420250 is a wasteful number, since it uses less digits than its factorization.

2705420250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2705420250 is about 52013.6544572673. The cubic root of 2705420250 is about 1393.4078262079.

The spelling of 2705420250 in words is "two billion, seven hundred five million, four hundred twenty thousand, two hundred fifty".