2879934726240 has 1152 divisors, whose sum is σ = 11990662709760. Its totient is φ = 641278218240.

The previous prime is 2879934726217. The next prime is 2879934726259. The reversal of 2879934726240 is 426274399782.

2879934726240 is a `hidden beast` number, since 2 + 8 + 79 + 93 + 472 + 6 + 2 + 4 + 0 = 666.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1542545787 + ... + 1542547653.

It is an arithmetic number, because the mean of its divisors is an integer number (10408561380).

Almost surely, 2^{2879934726240} is an apocalyptic number.

2879934726240 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 2879934726240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995331354880).

2879934726240 is an abundant number, since it is smaller than the sum of its proper divisors (9110727983520).

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

2879934726240 is a wasteful number, since it uses less digits than its factorization.

2879934726240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 2879934726240 in words is "two trillion, eight hundred seventy-nine billion, nine hundred thirty-four million, seven hundred twenty-six thousand, two hundred forty".