5402584824 has 128 divisors (see below), whose sum is σ = 16857953280. Its totient is φ = 1404748800.

The previous prime is 5402584823. The next prime is 5402584843. The reversal of 5402584824 is 4284852045.

It is a super-2 number, since 2×5402584824² = 58375845561030221952, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5402584823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137644 + ... + 172484.

It is an arithmetic number, because the mean of its divisors is an integer number (131702760).

Almost surely, 2^5402584824 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 5402584824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8428976640).

5402584824 is an abundant number, since it is smaller than the sum of its proper divisors (11455368456).

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

5402584824 is a wasteful number, since it uses less digits than its factorization.

5402584824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34941 (or 34937 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 42.

The square root of 5402584824 is about 73502.2776789944. The cubic root of 5402584824 is about 1754.6905268390.

The spelling of 5402584824 in words is "five billion, four hundred two million, five hundred eighty-four thousand, eight hundred twenty-four".