2977742480 has 20 divisors (see below), whose sum is σ = 6923251452. Its totient is φ = 1191096960.

The previous prime is 2977742477. The next prime is 2977742549. The reversal of 2977742480 is 842477792.

It can be written as a sum of positive squares in 2 ways, for example, as 1562779024 + 1414963456 = 39532^2 + 37616^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18610811 + ... + 18610970.

Almost surely, 2^2977742480 is an apocalyptic number.

2977742480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2977742480 is an abundant number, since it is smaller than the sum of its proper divisors (3945508972).

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

2977742480 is a wasteful number, since it uses less digits than its factorization.

2977742480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37221794 (or 37221788 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 50.

The square root of 2977742480 is about 54568.6950549489. The cubic root of 2977742480 is about 1438.6739464322.

The spelling of 2977742480 in words is "two billion, nine hundred seventy-seven million, seven hundred forty-two thousand, four hundred eighty".