2401300 has 72 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 835200.

The previous prime is 2401279. The next prime is 2401303. The reversal of 2401300 is 31042.

2401300 = T₁₀₁ + T₁₀₂ + ... + T₂₄₈.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401303) 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 23 ways as a sum of consecutive naturals, for example, 40671 + ... + 40729.

It is an arithmetic number, because the mean of its divisors is an integer number (82460).

2^2401300 is an apocalyptic number.

2401300 is a gapful number since it is divisible by the number (20) 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 2401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

2401300 is an abundant number, since it is smaller than the sum of its proper divisors (3535820).

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

2401300 is a wasteful number, since it uses less digits than its factorization.

2401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2401300 is about 1549.6128548770. The cubic root of 2401300 is about 133.9107596206.

Adding to 2401300 its reverse (31042), we get a palindrome (2432342).

It can be divided in two parts, 2401 and 300, that added together give a triangular number (2701 = T₇₃).

The spelling of 2401300 in words is "two million, four hundred one thousand, three hundred".