2643114240 has 720 divisors, whose sum is σ = 10657685808. Its totient is φ = 621084672.

The previous prime is 2643114233. The next prime is 2643114251. The reversal of 2643114240 is 424113462.

It is a happy number.

2643114240 is a `hidden beast` number, since 2 + 643 + 1 + 14 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15116544 + 2627997696 = 3888^2 + 51264^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49870054 + ... + 49870106.

Almost surely, 2^2643114240 is an apocalyptic number.

2643114240 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 2643114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328842904).

2643114240 is an abundant number, since it is smaller than the sum of its proper divisors (8014571568).

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

2643114240 is a wasteful number, since it uses less digits than its factorization.

2643114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2643114240 is about 51411.2267894864. The cubic root of 2643114240 is about 1382.6278848854.

The spelling of 2643114240 in words is "two billion, six hundred forty-three million, one hundred fourteen thousand, two hundred forty".