2296419840 has 960 divisors, whose sum is σ = 10134476352. Its totient is φ = 471859200.

The previous prime is 2296419809. The next prime is 2296419863. The reversal of 2296419840 is 489146922.

2296419840 is a `hidden beast` number, since 229 + 6 + 419 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56010220 + ... + 56010260.

Almost surely, 2^2296419840 is an apocalyptic number.

2296419840 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 2296419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067238176).

2296419840 is an abundant number, since it is smaller than the sum of its proper divisors (7838056512).

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

2296419840 is a wasteful number, since it uses less digits than its factorization.

2296419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2296419840 is about 47920.9749483459. The cubic root of 2296419840 is about 1319.3208627665.

The spelling of 2296419840 in words is "two billion, two hundred ninety-six million, four hundred nineteen thousand, eight hundred forty".