2730450240 has 672 divisors, whose sum is σ = 11776886784. Its totient is φ = 566231040.

The previous prime is 2730450199. The next prime is 2730450251. The reversal of 2730450240 is 420540372.

2730450240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10624192 + ... + 10624448.

Almost surely, 2^2730450240 is an apocalyptic number.

2730450240 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 2730450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888443392).

2730450240 is an abundant number, since it is smaller than the sum of its proper divisors (9046436544).

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

2730450240 is a wasteful number, since it uses less digits than its factorization.

2730450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2730450240 is about 52253.7102988869. The cubic root of 2730450240 is about 1397.6918156282.

The spelling of 2730450240 in words is "two billion, seven hundred thirty million, four hundred fifty thousand, two hundred forty".