2733739008 has 528 divisors, whose sum is σ = 10036260864. Its totient is φ = 650280960.

The previous prime is 2733739003. The next prime is 2733739013. The reversal of 2733739008 is 8009373372.

It is an interprime number because it is at equal distance from previous prime (2733739003) and next prime (2733739013).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2733739003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21525441 + ... + 21525567.

Almost surely, 2^2733739008 is an apocalyptic number.

2733739008 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 2733739008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018130432).

2733739008 is an abundant number, since it is smaller than the sum of its proper divisors (7302521856).

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

2733739008 is a wasteful number, since it uses less digits than its factorization.

2733739008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 2733739008 is about 52285.1700580576. The cubic root of 2733739008 is about 1398.2527536191.

The spelling of 2733739008 in words is "two billion, seven hundred thirty-three million, seven hundred thirty-nine thousand, eight".