2053993040 has 320 divisors, whose sum is σ = 5883052032. Its totient is φ = 658022400.

The previous prime is 2053993003. The next prime is 2053993049. The reversal of 2053993040 is 403993502.

It is a Cunningham number, because it is equal to 45321²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053993049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19941629 + ... + 19941731.

Almost surely, 2^2053993040 is an apocalyptic number.

2053993040 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 2053993040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941526016).

2053993040 is an abundant number, since it is smaller than the sum of its proper divisors (3829058992).

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

2053993040 is a wasteful number, since it uses less digits than its factorization.

2053993040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 2053993040 is about 45320.9999889676. Note that the first 4 decimals coincide. The cubic root of 2053993040 is about 1271.1583537419.

The spelling of 2053993040 in words is "two billion, fifty-three million, nine hundred ninety-three thousand, forty".