2411664 has 40 divisors (see below), whose sum is σ = 6368640. Its totient is φ = 786048.

The previous prime is 2411663. The next prime is 2411693. The reversal of 2411664 is 4661142.

It is a super-2 number, since 2×2411664² = 11632246497792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2411663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1722 + ... + 2790.

It is an arithmetic number, because the mean of its divisors is an integer number (159216).

2^2411664 is an apocalyptic number.

2411664 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 2411664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184320).

2411664 is an abundant number, since it is smaller than the sum of its proper divisors (3956976).

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

2411664 is a wasteful number, since it uses less digits than its factorization.

2411664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1121 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 2411664 is about 1552.9533154606. The cubic root of 2411664 is about 134.1031358659.

It can be divided in two parts, 24 and 11664, that multiplied together give a 7-th power (279936 = 6⁷).

The spelling of 2411664 in words is "two million, four hundred eleven thousand, six hundred sixty-four".