2420640000 has 405 divisors, whose sum is σ = 8939239309. Its totient is φ = 629760000.

The previous prime is 2420639987. The next prime is 2420640073. The reversal of 2420640000 is 460242.

The square root of 2420640000 is 49200.

It is a perfect power (a square), and thus also a powerful number.

2420640000 is a `hidden beast` number, since 2 + 4 + 20 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2411202816 + 9437184 = 49104^2 + 3072^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59039980 + ... + 59040020.

Almost surely, 2^2420640000 is an apocalyptic number.

2420640000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2420640000 is the 49200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420640000

2420640000 is an abundant number, since it is smaller than the sum of its proper divisors (6518599309).

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

2420640000 is an frugal number, since it uses more digits than its factorization.

2420640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The cubic root of 2420640000 is about 1342.6930321770.

The spelling of 2420640000 in words is "two billion, four hundred twenty million, six hundred forty thousand".