2735736012 has 96 divisors (see below), whose sum is σ = 7455974400. Its totient is φ = 865789056.

The previous prime is 2735735993. The next prime is 2735736053. The reversal of 2735736012 is 2106375372.

2735736012 is a `hidden beast` number, since 2 + 73 + 573 + 6 + 0 + 12 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336289 + ... + 344327.

It is an arithmetic number, because the mean of its divisors is an integer number (77666400).

Almost surely, 2^2735736012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2735736012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727987200).

2735736012 is an abundant number, since it is smaller than the sum of its proper divisors (4720238388).

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

2735736012 is a wasteful number, since it uses less digits than its factorization.

2735736012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8212 (or 8204 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 2735736012 is about 52304.2638032503. The cubic root of 2735736012 is about 1398.5931465971.

The spelling of 2735736012 in words is "two billion, seven hundred thirty-five million, seven hundred thirty-six thousand, twelve".