5604146240 has 224 divisors, whose sum is σ = 16854220800. Its totient is φ = 1724037120.

The previous prime is 5604146239. The next prime is 5604146291. The reversal of 5604146240 is 426414065.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×5604146240² = 62812910158612275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5604146197 and 5604146206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1945121 + ... + 1947999.

Almost surely, 2^5604146240 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 5604146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427110400).

5604146240 is an abundant number, since it is smaller than the sum of its proper divisors (11250074560).

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

5604146240 is a wasteful number, since it uses less digits than its factorization.

5604146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 5604146240 is about 74860.8458407998. The cubic root of 5604146240 is about 1776.2461647800.

The spelling of 5604146240 in words is "five billion, six hundred four million, one hundred forty-six thousand, two hundred forty".