2978382240 has 288 divisors, whose sum is σ = 11166180480. Its totient is φ = 719566848.

The previous prime is 2978382227. The next prime is 2978382271. The reversal of 2978382240 is 422838792.

2978382240 is a `hidden beast` number, since 29 + 7 + 8 + 382 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626914 + ... + 631646.

It is an arithmetic number, because the mean of its divisors is an integer number (38771460).

Almost surely, 2^2978382240 is an apocalyptic number.

2978382240 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 2978382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583090240).

2978382240 is an abundant number, since it is smaller than the sum of its proper divisors (8187798240).

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

2978382240 is a wasteful number, since it uses less digits than its factorization.

2978382240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2978382240 is about 54574.5567091479. The cubic root of 2978382240 is about 1438.7769708030.

The spelling of 2978382240 in words is "two billion, nine hundred seventy-eight million, three hundred eighty-two thousand, two hundred forty".