2705225072 has 60 divisors (see below), whose sum is σ = 5855880408. Its totient is φ = 1209436800.

The previous prime is 2705225069. The next prime is 2705225087.

2705225072 is nontrivially palindromic in base 10.

2705225072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106643 + ... + 129549.

Almost surely, 2^2705225072 is an apocalyptic number.

2705225072 is a gapful number since it is divisible by the number (22) 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 2705225072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927940204).

2705225072 is an abundant number, since it is smaller than the sum of its proper divisors (3150655336).

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

2705225072 is a wasteful number, since it uses less digits than its factorization.

2705225072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22998 (or 22981 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 2705225072 is about 52011.7782045567. The cubic root of 2705225072 is about 1393.3743170463.

The spelling of 2705225072 in words is "two billion, seven hundred five million, two hundred twenty-five thousand, seventy-two".