2733742000 has 160 divisors (see below), whose sum is σ = 7252375104. Its totient is φ = 988416000.

The previous prime is 2733741943. The next prime is 2733742057. The reversal of 2733742000 is 2473372.

2733742000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2733741943) and next prime (2733742057).

It is a self number, because there is not a number n which added to its sum of digits gives 2733742000.

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, 6885802 + ... + 6886198.

Almost surely, 2^2733742000 is an apocalyptic number.

2733742000 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 2733742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626187552).

2733742000 is an abundant number, since it is smaller than the sum of its proper divisors (4518633104).

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

2733742000 is a wasteful number, since it uses less digits than its factorization.

2733742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

The square root of 2733742000 is about 52285.1986703694. The cubic root of 2733742000 is about 1398.2532637350.

The spelling of 2733742000 in words is "two billion, seven hundred thirty-three million, seven hundred forty-two thousand".