2153946600 has 384 divisors, whose sum is σ = 8136979200. Its totient is φ = 520473600.

The previous prime is 2153946589. The next prime is 2153946607. The reversal of 2153946600 is 66493512.

It is a happy number.

2153946600 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 9 + 46 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153946607) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4281949 + ... + 4282451.

It is an arithmetic number, because the mean of its divisors is an integer number (21190050).

Almost surely, 2^2153946600 is an apocalyptic number.

2153946600 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 2153946600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068489600).

2153946600 is an abundant number, since it is smaller than the sum of its proper divisors (5983032600).

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

2153946600 is a wasteful number, since it uses less digits than its factorization.

2153946600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2153946600 is about 46410.6302478215. The cubic root of 2153946600 is about 1291.4521235528.

It can be divided in two parts, 2153 and 946600, that added together give a triangular number (948753 = T₁₃₇₇).

The spelling of 2153946600 in words is "two billion, one hundred fifty-three million, nine hundred forty-six thousand, six hundred".