2123400400 has 120 divisors (see below), whose sum is σ = 5716089504. Its totient is φ = 751219200.

The previous prime is 2123400379. The next prime is 2123400469. The reversal of 2123400400 is 40043212.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 156279 + ... + 169321.

Almost surely, 2^2123400400 is an apocalyptic number.

2123400400 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 2123400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858044752).

2123400400 is an abundant number, since it is smaller than the sum of its proper divisors (3592689104).

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

2123400400 is a wasteful number, since it uses less digits than its factorization.

2123400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13109 (or 13098 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2123400400 is about 46080.3689221343. The cubic root of 2123400400 is about 1285.3181243884.

Adding to 2123400400 its reverse (40043212), we get a palindrome (2163443612).

The spelling of 2123400400 in words is "two billion, one hundred twenty-three million, four hundred thousand, four hundred".