2977384080 has 480 divisors, whose sum is σ = 11100039552. Its totient is φ = 656916480.

The previous prime is 2977384073. The next prime is 2977384103. The reversal of 2977384080 is 804837792.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18266079 + ... + 18266241.

Almost surely, 2^2977384080 is an apocalyptic number.

2977384080 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 2977384080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5550019776).

2977384080 is an abundant number, since it is smaller than the sum of its proper divisors (8122655472).

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

2977384080 is a wasteful number, since it uses less digits than its factorization.

2977384080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 2977384080 is about 54565.4110220018. The cubic root of 2977384080 is about 1438.6162246924.

The spelling of 2977384080 in words is "two billion, nine hundred seventy-seven million, three hundred eighty-four thousand, eighty".