2404774368 has 144 divisors (see below), whose sum is σ = 7220238480. Its totient is φ = 757112832.

The previous prime is 2404774327. The next prime is 2404774409. The reversal of 2404774368 is 8634774042.

2404774368 is a `hidden beast` number, since 240 + 47 + 7 + 4 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (2404774327) and next prime (2404774409).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 3572880 + ... + 3573552.

It is an arithmetic number, because the mean of its divisors is an integer number (50140545).

Almost surely, 2^2404774368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404774368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610119240).

2404774368 is an abundant number, since it is smaller than the sum of its proper divisors (4815464112).

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

2404774368 is a wasteful number, since it uses less digits than its factorization.

2404774368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 2404774368 is about 49038.4988350989. The cubic root of 2404774368 is about 1339.7531230050.

The spelling of 2404774368 in words is "two billion, four hundred four million, seven hundred seventy-four thousand, three hundred sixty-eight".