2477792016 has 180 divisors, whose sum is σ = 8345364300. Its totient is φ = 683472384.

The previous prime is 2477792011. The next prime is 2477792039. The reversal of 2477792016 is 6102977742.

It can be written as a sum of positive squares in 2 ways, for example, as 2088124416 + 389667600 = 45696^2 + 19740^2 .

It is a super-2 number, since 2×2477792016² = 12278906549106688512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2477792011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198570 + ... + 210678.

It is an arithmetic number, because the mean of its divisors is an integer number (46363135).

Almost surely, 2^2477792016 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 2477792016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172682150).

2477792016 is an abundant number, since it is smaller than the sum of its proper divisors (5867572284).

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

2477792016 is a wasteful number, since it uses less digits than its factorization.

2477792016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12166 (or 12150 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 2477792016 is about 49777.4247626371. The cubic root of 2477792016 is about 1353.1780664782.

The spelling of 2477792016 in words is "two billion, four hundred seventy-seven million, seven hundred ninety-two thousand, sixteen".