2735408400 has 120 divisors (see below), whose sum is σ = 9143492160. Its totient is φ = 697720320.

The previous prime is 2735408381. The next prime is 2735408419. The reversal of 2735408400 is 48045372.

It is an interprime number because it is at equal distance from previous prime (2735408381) and next prime (2735408419).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2735408400² = 14964918229581120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21955 + ... + 77154.

It is an arithmetic number, because the mean of its divisors is an integer number (76195768).

Almost surely, 2^2735408400 is an apocalyptic number.

2735408400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2735408400 is an abundant number, since it is smaller than the sum of its proper divisors (6408083760).

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

2735408400 is a wasteful number, since it uses less digits than its factorization.

2735408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99153 (or 99142 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2735408400 is about 52301.1319189174. The cubic root of 2735408400 is about 1398.5373158948.

The spelling of 2735408400 in words is "two billion, seven hundred thirty-five million, four hundred eight thousand, four hundred".