2413490688 has 320 divisors, whose sum is σ = 8347680000. Its totient is φ = 688214016.

The previous prime is 2413490687. The next prime is 2413490701. The reversal of 2413490688 is 8860943142.

It is a happy number.

2413490688 is a `hidden beast` number, since 241 + 349 + 0 + 68 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2413490687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4741378 + ... + 4741886.

It is an arithmetic number, because the mean of its divisors is an integer number (26086500).

Almost surely, 2^2413490688 is an apocalyptic number.

2413490688 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 2413490688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173840000).

2413490688 is an abundant number, since it is smaller than the sum of its proper divisors (5934189312).

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

2413490688 is an frugal number, since it uses more digits than its factorization.

2413490688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2413490688 is about 49127.2906641512. The cubic root of 2413490688 is about 1341.3698562921.

The spelling of 2413490688 in words is "two billion, four hundred thirteen million, four hundred ninety thousand, six hundred eighty-eight".