2040326400 has 864 divisors, whose sum is σ = 8759439360. Its totient is φ = 406978560.

The previous prime is 2040326371. The next prime is 2040326461. The reversal of 2040326400 is 46230402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43411177 + ... + 43411223.

It is an arithmetic number, because the mean of its divisors is an integer number (10138240).

Almost surely, 2^2040326400 is an apocalyptic number.

2040326400 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 2040326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379719680).

2040326400 is an abundant number, since it is smaller than the sum of its proper divisors (6719112960).

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

2040326400 is a wasteful number, since it uses less digits than its factorization.

2040326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2040326400 is about 45169.9723267571. The cubic root of 2040326400 is about 1268.3327782773.

Adding to 2040326400 its reverse (46230402), we get a palindrome (2086556802).

The spelling of 2040326400 in words is "two billion, forty million, three hundred twenty-six thousand, four hundred".