2053669632 has 288 divisors, whose sum is σ = 6908654592. Its totient is φ = 527695872.

The previous prime is 2053669619. The next prime is 2053669661. The reversal of 2053669632 is 2369663502.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2101528 + ... + 2102504.

It is an arithmetic number, because the mean of its divisors is an integer number (23988384).

Almost surely, 2^2053669632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053669632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454327296).

2053669632 is an abundant number, since it is smaller than the sum of its proper divisors (4854984960).

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

2053669632 is a wasteful number, since it uses less digits than its factorization.

2053669632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The square root of 2053669632 is about 45317.4318778106. The cubic root of 2053669632 is about 1271.0916342105.

The spelling of 2053669632 in words is "two billion, fifty-three million, six hundred sixty-nine thousand, six hundred thirty-two".