2056492800 has 270 divisors, whose sum is σ = 7605707648. Its totient is φ = 548259840.

The previous prime is 2056492793. The next prime is 2056492807. The reversal of 2056492800 is 82946502.

It is a happy number.

2056492800 is a `hidden beast` number, since 2 + 0 + 5 + 649 + 2 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2056492793) and next prime (2056492807).

It is a tau number, because it is divible by the number of its divisors (270).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056492807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 516417 + ... + 520383.

Almost surely, 2^2056492800 is an apocalyptic number.

2056492800 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 2056492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802853824).

2056492800 is an abundant number, since it is smaller than the sum of its proper divisors (5549214848).

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

2056492800 is an equidigital number, since it uses as much as digits as its factorization.

2056492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2056492800 is about 45348.5699884792. The cubic root of 2056492800 is about 1271.6738216698.

The spelling of 2056492800 in words is "two billion, fifty-six million, four hundred ninety-two thousand, eight hundred".