2056153680 has 240 divisors, whose sum is σ = 8239026240. Its totient is φ = 469953792.

The previous prime is 2056153667. The next prime is 2056153699. The reversal of 2056153680 is 863516502.

2056153680 is a `hidden beast` number, since 2 + 0 + 5 + 615 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 96127 + ... + 115553.

It is an arithmetic number, because the mean of its divisors is an integer number (34329276).

Almost surely, 2^2056153680 is an apocalyptic number.

2056153680 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 2056153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119513120).

2056153680 is an abundant number, since it is smaller than the sum of its proper divisors (6182872560).

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

2056153680 is a wasteful number, since it uses less digits than its factorization.

2056153680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19463 (or 19444 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2056153680 is about 45344.8307969056. The cubic root of 2056153680 is about 1271.6039172621.

The spelling of 2056153680 in words is "two billion, fifty-six million, one hundred fifty-three thousand, six hundred eighty".