2735974080 has 336 divisors, whose sum is σ = 10859194944. Its totient is φ = 619315200.

The previous prime is 2735974079. The next prime is 2735974097. The reversal of 2735974080 is 804795372.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 2277480 + ... + 2278680.

Almost surely, 2^2735974080 is an apocalyptic number.

2735974080 is a gapful number since it is divisible by the number (20) 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 2735974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429597472).

2735974080 is an abundant number, since it is smaller than the sum of its proper divisors (8123220864).

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

2735974080 is a wasteful number, since it uses less digits than its factorization.

2735974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2735974080 is about 52306.5395529087. The cubic root of 2735974080 is about 1398.6337146702.

The spelling of 2735974080 in words is "two billion, seven hundred thirty-five million, nine hundred seventy-four thousand, eighty".