2401769664 has 448 divisors, whose sum is σ = 8602675200. Its totient is φ = 642318336.

The previous prime is 2401769659. The next prime is 2401769693. The reversal of 2401769664 is 4669671042.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×2401769664³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24760464 + ... + 24760560.

It is an arithmetic number, because the mean of its divisors is an integer number (19202400).

Almost surely, 2^2401769664 is an apocalyptic number.

2401769664 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 2401769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301337600).

2401769664 is an abundant number, since it is smaller than the sum of its proper divisors (6200905536).

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

2401769664 is a wasteful number, since it uses less digits than its factorization.

2401769664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2401769664 is about 49007.8530849904. The cubic root of 2401769664 is about 1339.1948947018.

The spelling of 2401769664 in words is "two billion, four hundred one million, seven hundred sixty-nine thousand, six hundred sixty-four".