2401131600 has 360 divisors, whose sum is σ = 9878464960. Its totient is φ = 548674560.

The previous prime is 2401131581. The next prime is 2401131641. The reversal of 2401131600 is 61311042.

It is a happy number.

2401131600 is a `hidden beast` number, since 24 + 0 + 11 + 31 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 678636 + ... + 682164.

Almost surely, 2^2401131600 is an apocalyptic number.

2401131600 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 2401131600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939232480).

2401131600 is an abundant number, since it is smaller than the sum of its proper divisors (7477333360).

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

2401131600 is a wasteful number, since it uses less digits than its factorization.

2401131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2401131600 is about 49001.3428387427. The cubic root of 2401131600 is about 1339.0762921918.

Adding to 2401131600 its reverse (61311042), we get a palindrome (2462442642).

It can be divided in two parts, 24011 and 31600, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 2401131600 in words is "two billion, four hundred one million, one hundred thirty-one thousand, six hundred".