2050776000 has 672 divisors, whose sum is σ = 9057729408. Its totient is φ = 431308800.

The previous prime is 2050775989. The next prime is 2050776029. The reversal of 2050776000 is 6770502.

2050776000 is a `hidden beast` number, since 2 + 0 + 50 + 7 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 6551844 + ... + 6552156.

It is an arithmetic number, because the mean of its divisors is an integer number (13478764).

Almost surely, 2^2050776000 is an apocalyptic number.

2050776000 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 2050776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528864704).

2050776000 is an abundant number, since it is smaller than the sum of its proper divisors (7006953408).

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

2050776000 is a wasteful number, since it uses less digits than its factorization.

2050776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 2050776000 is about 45285.4943662979. The cubic root of 2050776000 is about 1270.4943618615.

The spelling of 2050776000 in words is "two billion, fifty million, seven hundred seventy-six thousand".