2450909664 has 192 divisors, whose sum is σ = 8272212480. Its totient is φ = 700119936.

The previous prime is 2450909663. The next prime is 2450909719. The reversal of 2450909664 is 4669090542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2450909663) 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, 487387 + ... + 492389.

It is an arithmetic number, because the mean of its divisors is an integer number (43084440).

Almost surely, 2^2450909664 is an apocalyptic number.

2450909664 is a gapful number since it is divisible by the number (24) 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 2450909664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136106240).

2450909664 is an abundant number, since it is smaller than the sum of its proper divisors (5821302816).

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

2450909664 is an frugal number, since it uses more digits than its factorization.

2450909664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2450909664 is about 49506.6628243108. The cubic root of 2450909664 is about 1348.2665752034.

The spelling of 2450909664 in words is "two billion, four hundred fifty million, nine hundred nine thousand, six hundred sixty-four".