2234878064640 has 1728 divisors, whose sum is σ = 8888449489920. Its totient is φ = 518490685440.

The previous prime is 2234878064623. The next prime is 2234878064651. The reversal of 2234878064640 is 464608784322.

2234878064640 is a `hidden beast` number, since 2 + 2 + 3 + 487 + 80 + 6 + 46 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31477155805 + ... + 31477155875.

It is an arithmetic number, because the mean of its divisors is an integer number (5143778640).

Almost surely, 2^{2234878064640} is an apocalyptic number.

2234878064640 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 2234878064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444224744960).

2234878064640 is an abundant number, since it is smaller than the sum of its proper divisors (6653571425280).

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

2234878064640 is a wasteful number, since it uses less digits than its factorization.

2234878064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 2234878064640 in words is "two trillion, two hundred thirty-four billion, eight hundred seventy-eight million, sixty-four thousand, six hundred forty".