2401323984 has 120 divisors (see below), whose sum is σ = 7345458432. Its totient is φ = 729031680.

The previous prime is 2401323979. The next prime is 2401324027. The reversal of 2401323984 is 4893231042.

2401323984 is a `hidden beast` number, since 240 + 1 + 323 + 98 + 4 = 666.

It is a super-2 number, since 2×2401323984² = 11532713752267264512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60067 + ... + 91709.

Almost surely, 2^2401323984 is an apocalyptic number.

2401323984 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 2401323984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672729216).

2401323984 is an abundant number, since it is smaller than the sum of its proper divisors (4944134448).

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

2401323984 is a wasteful number, since it uses less digits than its factorization.

2401323984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31705 (or 31696 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2401323984 is about 49003.3058476671. The cubic root of 2401323984 is about 1339.1120544929.

The spelling of 2401323984 in words is "two billion, four hundred one million, three hundred twenty-three thousand, nine hundred eighty-four".