2462133240 has 512 divisors, whose sum is σ = 10070784000. Its totient is φ = 522547200.

The previous prime is 2462133229. The next prime is 2462133241. The reversal of 2462133240 is 423312642.

2462133240 is a `hidden beast` number, since 2 + 4 + 621 + 3 + 32 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2462133241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8761900 + ... + 8762180.

It is an arithmetic number, because the mean of its divisors is an integer number (19669500).

Almost surely, 2^2462133240 is an apocalyptic number.

2462133240 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 2462133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035392000).

2462133240 is an abundant number, since it is smaller than the sum of its proper divisors (7608650760).

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

2462133240 is a wasteful number, since it uses less digits than its factorization.

2462133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2462133240 is about 49619.8875452172. The cubic root of 2462133240 is about 1350.3215036745.

Adding to 2462133240 its reverse (423312642), we get a palindrome (2885445882).

The spelling of 2462133240 in words is "two billion, four hundred sixty-two million, one hundred thirty-three thousand, two hundred forty".