2462213440 has 112 divisors (see below), whose sum is σ = 6182221824. Its totient is φ = 932659200.

The previous prime is 2462213437. The next prime is 2462213443. The reversal of 2462213440 is 443122642.

It is an interprime number because it is at equal distance from previous prime (2462213437) and next prime (2462213443).

It is a junction number, because it is equal to n+sod(n) for n = 2462213399 and 2462213408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2462213443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463600 + ... + 468880.

Almost surely, 2^2462213440 is an apocalyptic number.

2462213440 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 2462213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091110912).

2462213440 is an abundant number, since it is smaller than the sum of its proper divisors (3720008384).

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

2462213440 is a wasteful number, since it uses less digits than its factorization.

2462213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376 (or 5366 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2462213440 is about 49620.6956823461. The cubic root of 2462213440 is about 1350.3361650268.

The spelling of 2462213440 in words is "two billion, four hundred sixty-two million, two hundred thirteen thousand, four hundred forty".