2400864 has 48 divisors (see below), whose sum is σ = 6395760. Its totient is φ = 788480.

The previous prime is 2400863. The next prime is 2400869. The reversal of 2400864 is 4680042.

2400864 = T₆₇ + T₆₈ + ... + T₂₄₄.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a d-powerful number, because it can be written as 2²¹ + 4⁵ + 0 + 0 + 8⁵ + 6⁵ + 4⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8404 + ... + 8684.

It is an arithmetic number, because the mean of its divisors is an integer number (133245).

2^2400864 is an apocalyptic number.

2400864 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 2400864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197880).

2400864 is an abundant number, since it is smaller than the sum of its proper divisors (3994896).

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

2400864 is a wasteful number, since it uses less digits than its factorization.

2400864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2400864 is about 1549.4721681915. The cubic root of 2400864 is about 133.9026544797.

It can be divided in two parts, 2400 and 864, that multiplied together give a square (2073600 = 1440²).

The spelling of 2400864 in words is "two million, four hundred thousand, eight hundred sixty-four".