2047872716640 has 576 divisors, whose sum is σ = 7546866163200. Its totient is φ = 503984332800.

The previous prime is 2047872716611. The next prime is 2047872716653. The reversal of 2047872716640 is 466172787402.

2047872716640 is a `hidden beast` number, since 2 + 0 + 478 + 7 + 2 + 7 + 166 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1313580181 + ... + 1313581739.

It is an arithmetic number, because the mean of its divisors is an integer number (13102198200).

Almost surely, 2^{2047872716640} is an apocalyptic number.

2047872716640 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 2047872716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773433081600).

2047872716640 is an abundant number, since it is smaller than the sum of its proper divisors (5498993446560).

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

2047872716640 is a wasteful number, since it uses less digits than its factorization.

2047872716640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 2047872716640 in words is "two trillion, forty-seven billion, eight hundred seventy-two million, seven hundred sixteen thousand, six hundred forty".