2128776000 has 224 divisors, whose sum is σ = 7571036928. Its totient is φ = 523929600.

The previous prime is 2128775993. The next prime is 2128776037. The reversal of 2128776000 is 6778212.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308589 + ... + 315411.

It is an arithmetic number, because the mean of its divisors is an integer number (33799272).

Almost surely, 2^2128776000 is an apocalyptic number.

2128776000 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 2128776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785518464).

2128776000 is an abundant number, since it is smaller than the sum of its proper divisors (5442260928).

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

2128776000 is a wasteful number, since it uses less digits than its factorization.

2128776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 2128776000 is about 46138.6605787381. The cubic root of 2128776000 is about 1286.4018474145.

It can be divided in two parts, 2128 and 776000, that added together give a triangular number (778128 = T₁₂₄₇).

The spelling of 2128776000 in words is "two billion, one hundred twenty-eight million, seven hundred seventy-six thousand".