2980540640 has 576 divisors, whose sum is σ = 10052501760. Its totient is φ = 820592640.

The previous prime is 2980540597. The next prime is 2980540679. The reversal of 2980540640 is 460450892.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2980540594 and 2980540603.

It is a congruent number.

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, 27855467 + ... + 27855573.

It is an arithmetic number, because the mean of its divisors is an integer number (17452260).

Almost surely, 2^2980540640 is an apocalyptic number.

2980540640 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 2980540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026250880).

2980540640 is an abundant number, since it is smaller than the sum of its proper divisors (7071961120).

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

2980540640 is a wasteful number, since it uses less digits than its factorization.

2980540640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 2980540640 is about 54594.3279105073. The cubic root of 2980540640 is about 1439.1244420254.

The spelling of 2980540640 in words is "two billion, nine hundred eighty million, five hundred forty thousand, six hundred forty".