2420300400 has 240 divisors, whose sum is σ = 8984258304. Its totient is φ = 545495040.

The previous prime is 2420300383. The next prime is 2420300411. The reversal of 2420300400 is 40030242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2420300400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611227 + ... + 615173.

Almost surely, 2^2420300400 is an apocalyptic number.

2420300400 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 2420300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492129152).

2420300400 is an abundant number, since it is smaller than the sum of its proper divisors (6563957904).

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

2420300400 is a wasteful number, since it uses less digits than its factorization.

2420300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2420300400 is about 49196.5486594334. The cubic root of 2420300400 is about 1342.6302388829.

Adding to 2420300400 its reverse (40030242), we get a palindrome (2460330642).

The spelling of 2420300400 in words is "two billion, four hundred twenty million, three hundred thousand, four hundred".