2462248440 has 192 divisors, whose sum is σ = 8555077440. Its totient is φ = 612648960.

The previous prime is 2462248421. The next prime is 2462248471. The reversal of 2462248440 is 448422642.

It is a happy number.

2462248440 is a `hidden beast` number, since 24 + 622 + 4 + 8 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2462248395 and 2462248404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335854 + ... + 343106.

It is an arithmetic number, because the mean of its divisors is an integer number (44557695).

Almost surely, 2^2462248440 is an apocalyptic number.

2462248440 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 2462248440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277538720).

2462248440 is an abundant number, since it is smaller than the sum of its proper divisors (6092829000).

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

2462248440 is a wasteful number, since it uses less digits than its factorization.

2462248440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7334 (or 7327 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2462248440 is about 49621.0483565190. The cubic root of 2462248440 is about 1350.3425632728.

The spelling of 2462248440 in words is "two billion, four hundred sixty-two million, two hundred forty-eight thousand, four hundred forty".