2734387200 has 624 divisors, whose sum is σ = 10725623040. Its totient is φ = 681246720.

The previous prime is 2734387199. The next prime is 2734387217. The reversal of 2734387200 is 27834372.

2734387200 is a `hidden beast` number, since 2 + 73 + 4 + 387 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 63590379 + ... + 63590421.

Almost surely, 2^2734387200 is an apocalyptic number.

2734387200 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 2734387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362811520).

2734387200 is an abundant number, since it is smaller than the sum of its proper divisors (7991235840).

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

2734387200 is a wasteful number, since it uses less digits than its factorization.

2734387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2734387200 is about 52291.3683125619. The cubic root of 2734387200 is about 1398.3632572947.

The spelling of 2734387200 in words is "two billion, seven hundred thirty-four million, three hundred eighty-seven thousand, two hundred".