2488361400 has 288 divisors, whose sum is σ = 10113236640. Its totient is φ = 535265280.

The previous prime is 2488361387. The next prime is 2488361401. The reversal of 2488361400 is 41638842.

2488361400 is a `hidden beast` number, since 2 + 488 + 36 + 140 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2488361401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 208392 + ... + 220008.

It is an arithmetic number, because the mean of its divisors is an integer number (35115405).

Almost surely, 2^2488361400 is an apocalyptic number.

2488361400 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 2488361400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056618320).

2488361400 is an abundant number, since it is smaller than the sum of its proper divisors (7624875240).

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

2488361400 is a wasteful number, since it uses less digits than its factorization.

2488361400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11663 (or 11651 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2488361400 is about 49883.4782267636. The cubic root of 2488361400 is about 1355.0993967653.

The spelling of 2488361400 in words is "two billion, four hundred eighty-eight million, three hundred sixty-one thousand, four hundred".