2155342400 has 84 divisors (see below), whose sum is σ = 5345753088. Its totient is φ = 855267840.

The previous prime is 2155342381. The next prime is 2155342411. The reversal of 2155342400 is 42435512.

It is a happy number.

It is a super-2 number, since 2×2155342400² = 9291001722475520000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2155342400.

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 11 ways as a sum of consecutive naturals, for example, 197897 + ... + 208503.

Almost surely, 2^2155342400 is an apocalyptic number.

2155342400 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 2155342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672876544).

2155342400 is an abundant number, since it is smaller than the sum of its proper divisors (3190410688).

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

2155342400 is a wasteful number, since it uses less digits than its factorization.

2155342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10756 (or 10741 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2155342400 is about 46425.6653156420. The cubic root of 2155342400 is about 1291.7310254902.

Adding to 2155342400 its reverse (42435512), we get a palindrome (2197777912).

The spelling of 2155342400 in words is "two billion, one hundred fifty-five million, three hundred forty-two thousand, four hundred".