5146240000 has 440 divisors, whose sum is σ = 15194111328. Its totient is φ = 1720320000.

The previous prime is 5146239913. The next prime is 5146240019. The reversal of 5146240000 is 426415.

It is a tau number, because it is divible by the number of its divisors (440).

It is a super-2 number, since 2×5146240000² = 52967572275200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119679979 + ... + 119680021.

Almost surely, 2^5146240000 is an apocalyptic number.

5146240000 is a gapful number since it is divisible by the number (50) 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 5146240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7597055664).

5146240000 is an abundant number, since it is smaller than the sum of its proper divisors (10047871328).

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

5146240000 is a wasteful number, since it uses less digits than its factorization.

5146240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5146240000 is about 71737.2985273351. The cubic root of 5146240000 is about 1726.4871303681.

Adding to 5146240000 its reverse (426415), we get a palindrome (5146666415).

The spelling of 5146240000 in words is "five billion, one hundred forty-six million, two hundred forty thousand".