2705481000 has 320 divisors, whose sum is σ = 9567866880. Its totient is φ = 713059200.

The previous prime is 2705480989. The next prime is 2705481019. The reversal of 2705481000 is 1845072.

It is a super-2 number, since 2×2705481000² = 14639254882722000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10286869 + ... + 10287131.

It is an arithmetic number, because the mean of its divisors is an integer number (29899584).

Almost surely, 2^2705481000 is an apocalyptic number.

2705481000 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 2705481000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783933440).

2705481000 is an abundant number, since it is smaller than the sum of its proper divisors (6862385880).

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

2705481000 is a wasteful number, since it uses less digits than its factorization.

2705481000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2705481000 is about 52014.2384352592. The cubic root of 2705481000 is about 1393.4182557510.

The spelling of 2705481000 in words is "two billion, seven hundred five million, four hundred eighty-one thousand".