2011256400 has 240 divisors, whose sum is σ = 7182129600. Its totient is φ = 478126080.

The previous prime is 2011256399. The next prime is 2011256411. The reversal of 2011256400 is 46521102.

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

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, 385006 + ... + 390194.

It is an arithmetic number, because the mean of its divisors is an integer number (29925540).

Almost surely, 2^2011256400 is an apocalyptic number.

2011256400 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 2011256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591064800).

2011256400 is an abundant number, since it is smaller than the sum of its proper divisors (5170873200).

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

2011256400 is a wasteful number, since it uses less digits than its factorization.

2011256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5235 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2011256400 is about 44847.0333466998. The cubic root of 2011256400 is about 1262.2803251419.

Adding to 2011256400 its reverse (46521102), we get a palindrome (2057777502).

The spelling of 2011256400 in words is "two billion, eleven million, two hundred fifty-six thousand, four hundred".