2040026400 has 432 divisors, whose sum is σ = 7643510784. Its totient is φ = 510935040.

The previous prime is 2040026383. The next prime is 2040026437. The reversal of 2040026400 is 46200402.

2040026400 is a `hidden beast` number, since 2 + 0 + 400 + 264 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16063137 + ... + 16063263.

It is an arithmetic number, because the mean of its divisors is an integer number (17693312).

Almost surely, 2^2040026400 is an apocalyptic number.

2040026400 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 2040026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821755392).

2040026400 is an abundant number, since it is smaller than the sum of its proper divisors (5603484384).

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

2040026400 is a wasteful number, since it uses less digits than its factorization.

2040026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2040026400 is about 45166.6514145116. The cubic root of 2040026400 is about 1268.2706120011.

Adding to 2040026400 its reverse (46200402), we get a palindrome (2086226802).

The spelling of 2040026400 in words is "two billion, forty million, twenty-six thousand, four hundred".