2148431040 has 336 divisors, whose sum is σ = 8760390912. Its totient is φ = 490945536.

The previous prime is 2148431017. The next prime is 2148431101. The reversal of 2148431040 is 401348412.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2148430995 and 2148431013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542347 + ... + 546293.

It is an arithmetic number, because the mean of its divisors is an integer number (26072592).

Almost surely, 2^2148431040 is an apocalyptic number.

2148431040 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 2148431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380195456).

2148431040 is an abundant number, since it is smaller than the sum of its proper divisors (6611959872).

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

2148431040 is an equidigital number, since it uses as much as digits as its factorization.

2148431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2148431040 is about 46351.1708589977. The cubic root of 2148431040 is about 1290.3488510286.

Adding to 2148431040 its reverse (401348412), we get a palindrome (2549779452).

The spelling of 2148431040 in words is "two billion, one hundred forty-eight million, four hundred thirty-one thousand, forty".