2735673360 has 320 divisors, whose sum is σ = 10247344128. Its totient is φ = 590211072.

The previous prime is 2735673341. The next prime is 2735673361. The reversal of 2735673360 is 633765372.

It is a happy number.

It is a super-2 number, since 2×2735673360² = 14967817465227379200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2735673361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3206694 + ... + 3207546.

Almost surely, 2^2735673360 is an apocalyptic number.

2735673360 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 2735673360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123672064).

2735673360 is an abundant number, since it is smaller than the sum of its proper divisors (7511670768).

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

2735673360 is a wasteful number, since it uses less digits than its factorization.

2735673360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 42.

The square root of 2735673360 is about 52303.6648811534. The cubic root of 2735673360 is about 1398.5824699668.

The spelling of 2735673360 in words is "two billion, seven hundred thirty-five million, six hundred seventy-three thousand, three hundred sixty".