2056777920 has 280 divisors, whose sum is σ = 7423367424. Its totient is φ = 540463104.

The previous prime is 2056777883. The next prime is 2056777981. The reversal of 2056777920 is 297776502.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1891617 + ... + 1892703.

Almost surely, 2^2056777920 is an apocalyptic number.

2056777920 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 2056777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711683712).

2056777920 is an abundant number, since it is smaller than the sum of its proper divisors (5366589504).

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

2056777920 is a wasteful number, since it uses less digits than its factorization.

2056777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 2056777920 is about 45351.7135288183. The cubic root of 2056777920 is about 1271.7325888558.

The spelling of 2056777920 in words is "two billion, fifty-six million, seven hundred seventy-seven thousand, nine hundred twenty".