2978612352 has 224 divisors, whose sum is σ = 9000264780. Its totient is φ = 981393408.

The previous prime is 2978612341. The next prime is 2978612383. The reversal of 2978612352 is 2532168792.

2978612352 is a `hidden beast` number, since 29 + 7 + 8 + 612 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2939374656 + 39237696 = 54216^2 + 6264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2978612298 and 2978612307.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12783628 + ... + 12783860.

Almost surely, 2^2978612352 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 2978612352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500132390).

2978612352 is an abundant number, since it is smaller than the sum of its proper divisors (6021652428).

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

2978612352 is an equidigital number, since it uses as much as digits as its factorization.

2978612352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 375 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2978612352 is about 54576.6649036014. The cubic root of 2978612352 is about 1438.8140235041.

The spelling of 2978612352 in words is "two billion, nine hundred seventy-eight million, six hundred twelve thousand, three hundred fifty-two".