2141040400 has 120 divisors (see below), whose sum is σ = 5242662464. Its totient is φ = 840153600.

The previous prime is 2141040379. The next prime is 2141040413. The reversal of 2141040400 is 40401412.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6468235 + ... + 6468565.

Almost surely, 2^2141040400 is an apocalyptic number.

2141040400 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 2141040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621331232).

2141040400 is an abundant number, since it is smaller than the sum of its proper divisors (3101622064).

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

2141040400 is a wasteful number, since it uses less digits than its factorization.

2141040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2141040400 is about 46271.3777620680. The cubic root of 2141040400 is about 1288.8675436858.

Adding to 2141040400 its reverse (40401412), we get a palindrome (2181441812).

The spelling of 2141040400 in words is "two billion, one hundred forty-one million, forty thousand, four hundred".