2746740000 has 120 divisors (see below), whose sum is σ = 9010053360. Its totient is φ = 732448000.

The previous prime is 2746739993. The next prime is 2746740001. The reversal of 2746740000 is 476472.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2746740000.

It is not an unprimeable number, because it can be changed into a prime (2746740001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37111 + ... + 82889.

It is an arithmetic number, because the mean of its divisors is an integer number (75083778).

Almost surely, 2^2746740000 is an apocalyptic number.

2746740000 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 2746740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505026680).

2746740000 is an abundant number, since it is smaller than the sum of its proper divisors (6263313360).

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

2746740000 is an equidigital number, since it uses as much as digits as its factorization.

2746740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45812 (or 45789 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 2746740000 is about 52409.3503107985. The cubic root of 2746740000 is about 1400.4658313782.

The spelling of 2746740000 in words is "two billion, seven hundred forty-six million, seven hundred forty thousand".