2978827488 has 480 divisors, whose sum is σ = 10993219776. Its totient is φ = 770383872.

The previous prime is 2978827477. The next prime is 2978827513. The reversal of 2978827488 is 8847288792.

2978827488 is a `hidden beast` number, since 2 + 9 + 78 + 82 + 7 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (28901376) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17218570 + ... + 17218742.

Almost surely, 2^2978827488 is an apocalyptic number.

2978827488 is a gapful number since it is divisible by the number (28) 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 2978827488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496609888).

2978827488 is an abundant number, since it is smaller than the sum of its proper divisors (8014392288).

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

2978827488 is a wasteful number, since it uses less digits than its factorization.

2978827488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 63.

The square root of 2978827488 is about 54578.6358202548. The cubic root of 2978827488 is about 1438.8486630392.

The spelling of 2978827488 in words is "two billion, nine hundred seventy-eight million, eight hundred twenty-seven thousand, four hundred eighty-eight".