2730954240 has 720 divisors, whose sum is σ = 11461610160. Its totient is φ = 598671360.

The previous prime is 2730954179. The next prime is 2730954253. The reversal of 2730954240 is 424590372.

2730954240 is a `hidden beast` number, since 2 + 73 + 0 + 9 + 542 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2730954240² = 14916222121947955200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2730954195 and 2730954204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46287331 + ... + 46287389.

It is an arithmetic number, because the mean of its divisors is an integer number (15918903).

Almost surely, 2^2730954240 is an apocalyptic number.

2730954240 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 2730954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730805080).

2730954240 is an abundant number, since it is smaller than the sum of its proper divisors (8730655920).

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

2730954240 is a wasteful number, since it uses less digits than its factorization.

2730954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2730954240 is about 52258.5327004117. The cubic root of 2730954240 is about 1397.7778079585. Note that the first 3 decimals are identical.

The spelling of 2730954240 in words is "two billion, seven hundred thirty million, nine hundred fifty-four thousand, two hundred forty".