2153999040 has 112 divisors (see below), whose sum is σ = 7059655680. Its totient is φ = 555863040.

The previous prime is 2153999039. The next prime is 2153999051. The reversal of 2153999040 is 409993512.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2153998983 and 2153999001.

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 15 ways as a sum of consecutive naturals, for example, 6430 + ... + 65949.

It is an arithmetic number, because the mean of its divisors is an integer number (63032640).

Almost surely, 2^2153999040 is an apocalyptic number.

2153999040 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 2153999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529827840).

2153999040 is an abundant number, since it is smaller than the sum of its proper divisors (4905656640).

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

2153999040 is a wasteful number, since it uses less digits than its factorization.

2153999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72430 (or 72420 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 2153999040 is about 46411.1952011581. The cubic root of 2153999040 is about 1291.4626040355.

The spelling of 2153999040 in words is "two billion, one hundred fifty-three million, nine hundred ninety-nine thousand, forty".