2420361216 has 576 divisors, whose sum is σ = 9112521600. Its totient is φ = 621084672.

The previous prime is 2420361211. The next prime is 2420361217. The reversal of 2420361216 is 6121630242.

2420361216 is a `hidden beast` number, since 2 + 42 + 0 + 3 + 612 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2420361216.

It is not an unprimeable number, because it can be changed into a prime (2420361211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65415150 + ... + 65415186.

It is an arithmetic number, because the mean of its divisors is an integer number (15820350).

Almost surely, 2^2420361216 is an apocalyptic number.

2420361216 is a gapful number since it is divisible by the number (26) 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 2420361216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556260800).

2420361216 is an abundant number, since it is smaller than the sum of its proper divisors (6692160384).

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

2420361216 is a wasteful number, since it uses less digits than its factorization.

2420361216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2420361216 is about 49197.1667476899. The cubic root of 2420361216 is about 1342.6414844176.

2420361216 divided by its product of nonzero digits (3456) gives a triangular number (700336 = T₁₁₈₃).

Adding to 2420361216 its reverse (6121630242), we get a palindrome (8541991458).

The spelling of 2420361216 in words is "two billion, four hundred twenty million, three hundred sixty-one thousand, two hundred sixteen".