2735115372 has 36 divisors (see below), whose sum is σ = 7542288936. Its totient is φ = 828822720.

The previous prime is 2735115359. The next prime is 2735115401.

It is a happy number.

2735115372 is a `hidden beast` number, since 2 + 73 + 51 + 1 + 537 + 2 = 666.

2735115372 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3453033 + ... + 3453824.

It is an arithmetic number, because the mean of its divisors is an integer number (209508026).

Almost surely, 2^2735115372 is an apocalyptic number.

2735115372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2735115372 is an abundant number, since it is smaller than the sum of its proper divisors (4807173564).

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

2735115372 is a wasteful number, since it uses less digits than its factorization.

2735115372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6906878 (or 6906873 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 2735115372 is about 52298.3304896055. The cubic root of 2735115372 is about 1398.4873751221.

The spelling of 2735115372 in words is "two billion, seven hundred thirty-five million, one hundred fifteen thousand, three hundred seventy-two".