2734806240 has 240 divisors, whose sum is σ = 9764148240. Its totient is φ = 720783360.

The previous prime is 2734806209. The next prime is 2734806247. The reversal of 2734806240 is 426084372.

2734806240 is a `hidden beast` number, since 27 + 3 + 4 + 8 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 2734806195 and 2734806204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734806247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1152255 + ... + 1154625.

It is an arithmetic number, because the mean of its divisors is an integer number (40683951).

Almost surely, 2^2734806240 is an apocalyptic number.

2734806240 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 2734806240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882074120).

2734806240 is an abundant number, since it is smaller than the sum of its proper divisors (7029342000).

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

2734806240 is a wasteful number, since it uses less digits than its factorization.

2734806240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2734806240 is about 52295.3749388988. The cubic root of 2734806240 is about 1398.4346858776.

The spelling of 2734806240 in words is "two billion, seven hundred thirty-four million, eight hundred six thousand, two hundred forty".