2440204214100 has 288 divisors, whose sum is σ = 7350249553920. Its totient is φ = 624297192960.

The previous prime is 2440204214099. The next prime is 2440204214113. The reversal of 2440204214100 is 14124020442.

It is a super-2 number, since 2×2440204214100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1467349869 + ... + 1467351531.

It is an arithmetic number, because the mean of its divisors is an integer number (25521699840).

Almost surely, 2^{2440204214100} is an apocalyptic number.

2440204214100 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 2440204214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675124776960).

2440204214100 is an abundant number, since it is smaller than the sum of its proper divisors (4910045339820).

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

2440204214100 is a wasteful number, since it uses less digits than its factorization.

2440204214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2440204214100 its reverse (14124020442), we get a palindrome (2454328234542).

The spelling of 2440204214100 in words is "two trillion, four hundred forty billion, two hundred four million, two hundred fourteen thousand, one hundred".