2153614600 has 96 divisors (see below), whose sum is σ = 5216184000. Its totient is φ = 826156800.

The previous prime is 2153614597. The next prime is 2153614601. The reversal of 2153614600 is 64163512.

It is not an unprimeable number, because it can be changed into a prime (2153614601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523351 + ... + 527449.

It is an arithmetic number, because the mean of its divisors is an integer number (54335250).

Almost surely, 2^2153614600 is an apocalyptic number.

2153614600 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 2153614600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608092000).

2153614600 is an abundant number, since it is smaller than the sum of its proper divisors (3062569400).

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

2153614600 is a wasteful number, since it uses less digits than its factorization.

2153614600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2153614600 is about 46407.0533432150. The cubic root of 2153614600 is about 1291.3857671978.

It can be divided in two parts, 215361 and 4600, that added together give a square (219961 = 469²).

The spelling of 2153614600 in words is "two billion, one hundred fifty-three million, six hundred fourteen thousand, six hundred".