2120778271872 has 384 divisors, whose sum is σ = 6648555513600. Its totient is φ = 644989132800.

The previous prime is 2120778271853. The next prime is 2120778271891. The reversal of 2120778271872 is 2781728770212.

2120778271872 is a `hidden beast` number, since 21 + 207 + 78 + 271 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2120778271853) and next prime (2120778271891).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1607867629 + ... + 1607868947.

It is an arithmetic number, because the mean of its divisors is an integer number (17313946650).

Almost surely, 2^{2120778271872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120778271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324277756800).

2120778271872 is an abundant number, since it is smaller than the sum of its proper divisors (4527777241728).

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

2120778271872 is a wasteful number, since it uses less digits than its factorization.

2120778271872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 2458624, while the sum is 54.

The spelling of 2120778271872 in words is "two trillion, one hundred twenty billion, seven hundred seventy-eight million, two hundred seventy-one thousand, eight hundred seventy-two".