2420992000 has 288 divisors, whose sum is σ = 7064071560. Its totient is φ = 825753600.

The previous prime is 2420991997. The next prime is 2420992033. The reversal of 2420992000 is 2990242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 433972224 + 1987019776 = 20832^2 + 44576^2 .

It is a super-2 number, since 2×2420992000² = 11722404528128000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2420992000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12543904 + ... + 12544096.

Almost surely, 2^2420992000 is an apocalyptic number.

2420992000 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 2420992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532035780).

2420992000 is an abundant number, since it is smaller than the sum of its proper divisors (4643079560).

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

2420992000 is an equidigital number, since it uses as much as digits as its factorization.

2420992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2420992000 is about 49203.5771057349. The cubic root of 2420992000 is about 1342.7581120788.

The spelling of 2420992000 in words is "two billion, four hundred twenty million, nine hundred ninety-two thousand".