2419640346240 has 448 divisors, whose sum is σ = 9339866744040. Its totient is φ = 595602284544.

The previous prime is 2419640346229. The next prime is 2419640346281. The reversal of 2419640346240 is 426430469142.

2419640346240 is a `hidden beast` number, since 2 + 4 + 1 + 9 + 64 + 0 + 346 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 897930598464 + 1521709747776 = 947592^2 + 1233576^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5865814 + ... + 6264746.

Almost surely, 2^{2419640346240} is an apocalyptic number.

2419640346240 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 2419640346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669933372020).

2419640346240 is an abundant number, since it is smaller than the sum of its proper divisors (6920226397800).

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

2419640346240 is an equidigital number, since it uses as much as digits as its factorization.

2419640346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398983 (or 398956 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2419640346240 in words is "two trillion, four hundred nineteen billion, six hundred forty million, three hundred forty-six thousand, two hundred forty".