2421736408 has 128 divisors (see below), whose sum is σ = 5901840000. Its totient is φ = 924618240.

The previous prime is 2421736391. The next prime is 2421736433. The reversal of 2421736408 is 8046371242.

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 31 ways as a sum of consecutive naturals, for example, 1033318 + ... + 1035658.

It is an arithmetic number, because the mean of its divisors is an integer number (46108125).

Almost surely, 2^2421736408 is an apocalyptic number.

2421736408 is a gapful number since it is divisible by the number (28) 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 2421736408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950920000).

2421736408 is an abundant number, since it is smaller than the sum of its proper divisors (3480103592).

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

2421736408 is a wasteful number, since it uses less digits than its factorization.

2421736408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 2421736408 is about 49211.1410963005. The cubic root of 2421736408 is about 1342.8957219855.

The spelling of 2421736408 in words is "two billion, four hundred twenty-one million, seven hundred thirty-six thousand, four hundred eight".