2739230400 has 168 divisors, whose sum is σ = 9515886480. Its totient is φ = 687472640.

The previous prime is 2739230387. The next prime is 2739230407. The reversal of 2739230400 is 40329372.

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

It is not an unprimeable number, because it can be changed into a prime (2739230407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 64816 + ... + 98384.

Almost surely, 2^2739230400 is an apocalyptic number.

2739230400 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 2739230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757943240).

2739230400 is an abundant number, since it is smaller than the sum of its proper divisors (6776656080).

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

2739230400 is a wasteful number, since it uses less digits than its factorization.

2739230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33611 (or 33596 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 2739230400 is about 52337.6575708161. The cubic root of 2739230400 is about 1399.1883731010.

Adding to 2739230400 its reverse (40329372), we get a palindrome (2779559772).

The spelling of 2739230400 in words is "two billion, seven hundred thirty-nine million, two hundred thirty thousand, four hundred".