2738232000 has 448 divisors, whose sum is σ = 11487790080. Its totient is φ = 625536000.

The previous prime is 2738231999. The next prime is 2738232017. The reversal of 2738232000 is 2328372.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 1511095 + ... + 1512905.

Almost surely, 2^2738232000 is an apocalyptic number.

2738232000 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 2738232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743895040).

2738232000 is an abundant number, since it is smaller than the sum of its proper divisors (8749558080).

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

2738232000 is a wasteful number, since it uses less digits than its factorization.

2738232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2738232000 is about 52328.1186361597. The cubic root of 2738232000 is about 1399.0183594813.

The spelling of 2738232000 in words is "two billion, seven hundred thirty-eight million, two hundred thirty-two thousand".