2735949888 has 504 divisors, whose sum is σ = 9757013760. Its totient is φ = 729630720.

The previous prime is 2735949851. The next prime is 2735949899. The reversal of 2735949888 is 8889495372.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46372003 + ... + 46372061.

Almost surely, 2^2735949888 is an apocalyptic number.

2735949888 is a gapful number since it is divisible by the number (28) 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 2735949888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878506880).

2735949888 is an abundant number, since it is smaller than the sum of its proper divisors (7021063872).

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

2735949888 is a wasteful number, since it uses less digits than its factorization.

2735949888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The square root of 2735949888 is about 52306.3083002423. The cubic root of 2735949888 is about 1398.6295923302.

The spelling of 2735949888 in words is "two billion, seven hundred thirty-five million, nine hundred forty-nine thousand, eight hundred eighty-eight".