2120269350528 has 1024 divisors, whose sum is σ = 8017689600000. Its totient is φ = 548820873216.

The previous prime is 2120269350497. The next prime is 2120269350541. The reversal of 2120269350528 is 8250539620212.

2120269350528 is a `hidden beast` number, since 2 + 12 + 0 + 2 + 69 + 3 + 50 + 528 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 518021250 + ... + 518025342.

It is an arithmetic number, because the mean of its divisors is an integer number (7829775000).

Almost surely, 2^{2120269350528} is an apocalyptic number.

2120269350528 is a gapful number since it is divisible by the number (28) 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 2120269350528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008844800000).

2120269350528 is an abundant number, since it is smaller than the sum of its proper divisors (5897420249472).

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

2120269350528 is a wasteful number, since it uses less digits than its factorization.

2120269350528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 2120269350528 in words is "two trillion, one hundred twenty billion, two hundred sixty-nine million, three hundred fifty thousand, five hundred twenty-eight".