2440616832 has 320 divisors, whose sum is σ = 7850993040. Its totient is φ = 749813760.

The previous prime is 2440616831. The next prime is 2440616869. The reversal of 2440616832 is 2386160442.

2440616832 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 616 + 8 + 32 = 666.

It is a super-2 number, since 2×2440616832² = 11913221041283432448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440616831) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10751503 + ... + 10751729.

Almost surely, 2^2440616832 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 2440616832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925496520).

2440616832 is an abundant number, since it is smaller than the sum of its proper divisors (5410376208).

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

2440616832 is a wasteful number, since it uses less digits than its factorization.

2440616832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2440616832 is about 49402.5994457782. The cubic root of 2440616832 is about 1346.3765349986.

The spelling of 2440616832 in words is "two billion, four hundred forty million, six hundred sixteen thousand, eight hundred thirty-two".