2623971738240 has 768 divisors, whose sum is σ = 9844095006720. Its totient is φ = 641524826112.

The previous prime is 2623971738221. The next prime is 2623971738263. The reversal of 2623971738240 is 428371793262.

It is a happy number.

2623971738240 is a `hidden beast` number, since 2 + 6 + 2 + 397 + 1 + 7 + 3 + 8 + 240 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1072320697 + ... + 1072323143.

It is an arithmetic number, because the mean of its divisors is an integer number (12817832040).

Almost surely, 2^{2623971738240} is an apocalyptic number.

2623971738240 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 2623971738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922047503360).

2623971738240 is an abundant number, since it is smaller than the sum of its proper divisors (7220123268480).

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

2623971738240 is a wasteful number, since it uses less digits than its factorization.

2623971738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2623971738240 in words is "two trillion, six hundred twenty-three billion, nine hundred seventy-one million, seven hundred thirty-eight thousand, two hundred forty".