2153546304 has 336 divisors, whose sum is σ = 7362456192. Its totient is φ = 540942336.

The previous prime is 2153546273. The next prime is 2153546309. The reversal of 2153546304 is 4036453512.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (2153546309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9242572 + ... + 9242804.

It is an arithmetic number, because the mean of its divisors is an integer number (21912072).

Almost surely, 2^2153546304 is an apocalyptic number.

2153546304 is a gapful number since it is divisible by the number (24) 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 2153546304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681228096).

2153546304 is an abundant number, since it is smaller than the sum of its proper divisors (5208909888).

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

2153546304 is a wasteful number, since it uses less digits than its factorization.

2153546304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 2153546304 is about 46406.3175009610. The cubic root of 2153546304 is about 1291.3721161303.

Adding to 2153546304 its reverse (4036453512), we get a palindrome (6189999816).

It can be divided in two parts, 2153546 and 304, that added together give a triangular number (2153850 = T₂₀₇₅).

The spelling of 2153546304 in words is "two billion, one hundred fifty-three million, five hundred forty-six thousand, three hundred four".