2735036928 has 480 divisors, whose sum is σ = 9383774400. Its totient is φ = 788299776.

The previous prime is 2735036923. The next prime is 2735036933. The reversal of 2735036928 is 8296305372.

It is an interprime number because it is at equal distance from previous prime (2735036923) and next prime (2735036933).

It is not an unprimeable number, because it can be changed into a prime (2735036923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30730708 + ... + 30730796.

It is an arithmetic number, because the mean of its divisors is an integer number (19549530).

Almost surely, 2^2735036928 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 2735036928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691887200).

2735036928 is an abundant number, since it is smaller than the sum of its proper divisors (6648737472).

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

2735036928 is an equidigital number, since it uses as much as digits as its factorization.

2735036928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2735036928 is about 52297.5805176492. The cubic root of 2735036928 is about 1398.4740053031.

The spelling of 2735036928 in words is "two billion, seven hundred thirty-five million, thirty-six thousand, nine hundred twenty-eight".