2155553400 has 768 divisors, whose sum is σ = 9309404160. Its totient is φ = 398131200.

The previous prime is 2155553341. The next prime is 2155553419. The reversal of 2155553400 is 43555512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 191 ways as a sum of consecutive naturals, for example, 22222152 + ... + 22222248.

It is an arithmetic number, because the mean of its divisors is an integer number (12121620).

Almost surely, 2^2155553400 is an apocalyptic number.

2155553400 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 2155553400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654702080).

2155553400 is an abundant number, since it is smaller than the sum of its proper divisors (7153850760).

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

2155553400 is a wasteful number, since it uses less digits than its factorization.

2155553400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 2155553400 is about 46427.9377099608. The cubic root of 2155553400 is about 1291.7731760015.

It can be divided in two parts, 2155 and 553400, that added together give a palindrome (555555).

The spelling of 2155553400 in words is "two billion, one hundred fifty-five million, five hundred fifty-three thousand, four hundred".