2056609451520 has 1440 divisors, whose sum is σ = 8510761651392. Its totient is φ = 455306379264.

The previous prime is 2056609451489. The next prime is 2056609451539. The reversal of 2056609451520 is 251549066502.

2056609451520 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 609 + 4 + 5 + 15 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1990908924 + ... + 1990909956.

Almost surely, 2^{2056609451520} is an apocalyptic number.

2056609451520 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 2056609451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255380825696).

2056609451520 is an abundant number, since it is smaller than the sum of its proper divisors (6454152199872).

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

2056609451520 is a wasteful number, since it uses less digits than its factorization.

2056609451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 2056609451520 in words is "two trillion, fifty-six billion, six hundred nine million, four hundred fifty-one thousand, five hundred twenty".