2420980000 has 240 divisors, whose sum is σ = 6565648320. Its totient is φ = 874368000.

The previous prime is 2420979997. The next prime is 2420980007. The reversal of 2420980000 is 890242.

It is a super-2 number, since 2×2420980000² = 11722288320800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2420980007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8739862 + ... + 8740138.

It is an arithmetic number, because the mean of its divisors is an integer number (27356868).

Almost surely, 2^2420980000 is an apocalyptic number.

2420980000 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 2420980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282824160).

2420980000 is an abundant number, since it is smaller than the sum of its proper divisors (4144668320).

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

2420980000 is a wasteful number, since it uses less digits than its factorization.

2420980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2420980000 is about 49203.4551632302. The cubic root of 2420980000 is about 1342.7558935496.

The spelling of 2420980000 in words is "two billion, four hundred twenty million, nine hundred eighty thousand".