2421640416 has 96 divisors (see below), whose sum is σ = 6912622080. Its totient is φ = 737846784.

The previous prime is 2421640393. The next prime is 2421640499. The reversal of 2421640416 is 6140461242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119125 + ... + 137963.

It is an arithmetic number, because the mean of its divisors is an integer number (72006480).

Almost surely, 2^2421640416 is an apocalyptic number.

2421640416 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 2421640416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456311040).

2421640416 is an abundant number, since it is smaller than the sum of its proper divisors (4490981664).

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

2421640416 is a wasteful number, since it uses less digits than its factorization.

2421640416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18968 (or 18960 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2421640416 is about 49210.1657790339. The cubic root of 2421640416 is about 1342.8779786631.

The spelling of 2421640416 in words is "two billion, four hundred twenty-one million, six hundred forty thousand, four hundred sixteen".