2940776280 has 576 divisors, whose sum is σ = 11615516640. Its totient is φ = 662888448.

The previous prime is 2940776269. The next prime is 2940776287. The reversal of 2940776280 is 826770492.

2940776280 = 282³ + 283³ + ... + 366³.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2940776287) 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 143 ways as a sum of consecutive naturals, for example, 79480422 + ... + 79480458.

Almost surely, 2^2940776280 is an apocalyptic number.

2940776280 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 2940776280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5807758320).

2940776280 is an abundant number, since it is smaller than the sum of its proper divisors (8674740360).

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

2940776280 is a wasteful number, since it uses less digits than its factorization.

2940776280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2940776280 is about 54228.9247542306. The cubic root of 2940776280 is about 1432.6958258646.

The spelling of 2940776280 in words is "two billion, nine hundred forty million, seven hundred seventy-six thousand, two hundred eighty".