2056272400 has 240 divisors, whose sum is σ = 6439837824. Its totient is φ = 612311040.

The previous prime is 2056272389. The next prime is 2056272403. The reversal of 2056272400 is 42726502.

It is a super-3 number, since 3×2056272400³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2056272403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 617139 + ... + 620461.

Almost surely, 2^2056272400 is an apocalyptic number.

2056272400 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 2056272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219918912).

2056272400 is an abundant number, since it is smaller than the sum of its proper divisors (4383565424).

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

2056272400 is a wasteful number, since it uses less digits than its factorization.

2056272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 2056272400 is about 45346.1398577652. The cubic root of 2056272400 is about 1271.6283904509.

Adding to 2056272400 its reverse (42726502), we get a palindrome (2098998902).

The spelling of 2056272400 in words is "two billion, fifty-six million, two hundred seventy-two thousand, four hundred".