2724633240 has 192 divisors, whose sum is σ = 9711705600. Its totient is φ = 609460992.

The previous prime is 2724633181. The next prime is 2724633283. The reversal of 2724633240 is 423364272.

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, 271431 + ... + 281289.

It is an arithmetic number, because the mean of its divisors is an integer number (50581800).

Almost surely, 2^2724633240 is an apocalyptic number.

2724633240 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 2724633240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855852800).

2724633240 is an abundant number, since it is smaller than the sum of its proper divisors (6987072360).

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

2724633240 is a wasteful number, since it uses less digits than its factorization.

2724633240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9934 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 2724633240 is about 52198.0195026593. The cubic root of 2724633240 is about 1396.6985540636.

The spelling of 2724633240 in words is "two billion, seven hundred twenty-four million, six hundred thirty-three thousand, two hundred forty".