2977281420 has 96 divisors (see below), whose sum is σ = 8620286976. Its totient is φ = 767270400.

The previous prime is 2977281401. The next prime is 2977281427. The reversal of 2977281420 is 241827792.

It is not an unprimeable number, because it can be changed into a prime (2977281427) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 257565 + ... + 268875.

It is an arithmetic number, because the mean of its divisors is an integer number (89794656).

Almost surely, 2^2977281420 is an apocalyptic number.

2977281420 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 2977281420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310143488).

2977281420 is an abundant number, since it is smaller than the sum of its proper divisors (5643005556).

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

2977281420 is a wasteful number, since it uses less digits than its factorization.

2977281420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11471 (or 11469 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 2977281420 is about 54564.4703080677. The cubic root of 2977281420 is about 1438.5996900392.

The spelling of 2977281420 in words is "two billion, nine hundred seventy-seven million, two hundred eighty-one thousand, four hundred twenty".