2155622400 has 234 divisors, whose sum is σ = 7724276820. Its totient is φ = 574586880.

The previous prime is 2155622383. The next prime is 2155622401. The reversal of 2155622400 is 42265512.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2155622401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 920431 + ... + 922769.

It is an arithmetic number, because the mean of its divisors is an integer number (33009730).

Almost surely, 2^2155622400 is an apocalyptic number.

2155622400 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 2155622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862138410).

2155622400 is an abundant number, since it is smaller than the sum of its proper divisors (5568654420).

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

2155622400 is a wasteful number, since it uses less digits than its factorization.

2155622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2155622400 is about 46428.6807910800. The cubic root of 2155622400 is about 1291.7869592212.

Adding to 2155622400 its reverse (42265512), we get a palindrome (2197887912).

It can be divided in two parts, 21556 and 22400, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 2155622400 in words is "two billion, one hundred fifty-five million, six hundred twenty-two thousand, four hundred".