2419385640 has 256 divisors, whose sum is σ = 8751697920. Its totient is φ = 523100160.

The previous prime is 2419385629. The next prime is 2419385681. The reversal of 2419385640 is 465839142.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2419385592 and 2419385601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1873395 + ... + 1874685.

It is an arithmetic number, because the mean of its divisors is an integer number (34186320).

Almost surely, 2^2419385640 is an apocalyptic number.

2419385640 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 2419385640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375848960).

2419385640 is an abundant number, since it is smaller than the sum of its proper divisors (6332312280).

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

2419385640 is a wasteful number, since it uses less digits than its factorization.

2419385640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2419385640 is about 49187.2507871704. The cubic root of 2419385640 is about 1342.4610671550.

The spelling of 2419385640 in words is "two billion, four hundred nineteen million, three hundred eighty-five thousand, six hundred forty".