2735978960 has 160 divisors (see below), whose sum is σ = 7507019520. Its totient is φ = 914227200.

The previous prime is 2735978957. The next prime is 2735978981. The reversal of 2735978960 is 698795372.

It is a junction number, because it is equal to n+sod(n) for n = 2735978896 and 2735978905.

It is a congruent number.

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, 3557456 + ... + 3558224.

It is an arithmetic number, because the mean of its divisors is an integer number (46918872).

Almost surely, 2^2735978960 is an apocalyptic number.

2735978960 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 2735978960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753509760).

2735978960 is an abundant number, since it is smaller than the sum of its proper divisors (4771040560).

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

2735978960 is a wasteful number, since it uses less digits than its factorization.

2735978960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 56.

The square root of 2735978960 is about 52306.5862009747. The cubic root of 2735978960 is about 1398.6345462240.

The spelling of 2735978960 in words is "two billion, seven hundred thirty-five million, nine hundred seventy-eight thousand, nine hundred sixty".