2742209400 has 384 divisors, whose sum is σ = 10079354880. Its totient is φ = 603832320.

The previous prime is 2742209389. The next prime is 2742209413. The reversal of 2742209400 is 49022472.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21592137 + ... + 21592263.

It is an arithmetic number, because the mean of its divisors is an integer number (26248320).

Almost surely, 2^2742209400 is an apocalyptic number.

2742209400 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 2742209400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039677440).

2742209400 is an abundant number, since it is smaller than the sum of its proper divisors (7337145480).

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

2742209400 is a wasteful number, since it uses less digits than its factorization.

2742209400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2742209400 is about 52366.1092692593. The cubic root of 2742209400 is about 1399.6954099273.

The spelling of 2742209400 in words is "two billion, seven hundred forty-two million, two hundred nine thousand, four hundred".