2742931200 has 432 divisors, whose sum is σ = 9752986880. Its totient is φ = 676823040.

The previous prime is 2742931189. The next prime is 2742931231. The reversal of 2742931200 is 21392472.

2742931200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26630349 + ... + 26630451.

Almost surely, 2^2742931200 is an apocalyptic number.

2742931200 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 2742931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876493440).

2742931200 is an abundant number, since it is smaller than the sum of its proper divisors (7010055680).

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

2742931200 is a wasteful number, since it uses less digits than its factorization.

2742931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2742931200 is about 52373.0006778302. Note that the first 3 decimals coincide. The cubic root of 2742931200 is about 1399.8182076875.

The spelling of 2742931200 in words is "two billion, seven hundred forty-two million, nine hundred thirty-one thousand, two hundred".