2153547648 has 384 divisors, whose sum is σ = 7532618400. Its totient is φ = 611380224.

The previous prime is 2153547601. The next prime is 2153547689. The reversal of 2153547648 is 8467453512.

2153547648 is a `hidden beast` number, since 2 + 1 + 535 + 4 + 76 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13716786 + ... + 13716942.

Almost surely, 2^2153547648 is an apocalyptic number.

2153547648 is a gapful number since it is divisible by the number (28) 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 2153547648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766309200).

2153547648 is an abundant number, since it is smaller than the sum of its proper divisors (5379070752).

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

2153547648 is an frugal number, since it uses more digits than its factorization.

2153547648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 169 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 2153547648 is about 46406.3319817458. The cubic root of 2153547648 is about 1291.3723847731.

The spelling of 2153547648 in words is "two billion, one hundred fifty-three million, five hundred forty-seven thousand, six hundred forty-eight".