2469434040 has 192 divisors, whose sum is σ = 8365593600. Its totient is φ = 655143552.

The previous prime is 2469434027. The next prime is 2469434063. The reversal of 2469434040 is 404349642.

2469434040 is a `hidden beast` number, since 246 + 9 + 4 + 3 + 404 + 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 = 2469433986 and 2469434004.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2322549 + ... + 2323611.

It is an arithmetic number, because the mean of its divisors is an integer number (43570800).

Almost surely, 2^2469434040 is an apocalyptic number.

2469434040 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 2469434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182796800).

2469434040 is an abundant number, since it is smaller than the sum of its proper divisors (5896159560).

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

2469434040 is a wasteful number, since it uses less digits than its factorization.

2469434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2469434040 is about 49693.4003666483. The cubic root of 2469434040 is about 1351.6548594971.

The spelling of 2469434040 in words is "two billion, four hundred sixty-nine million, four hundred thirty-four thousand, forty".