2400854332140 has 1728 divisors, whose sum is σ = 9294509113344. Its totient is φ = 517321728000.

The previous prime is 2400854332091. The next prime is 2400854332199. The reversal of 2400854332140 is 412334580042.

2400854332140 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 8 + 5 + 433 + 214 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2400854332095 and 2400854332104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 18904364757 + ... + 18904364883.

It is an arithmetic number, because the mean of its divisors is an integer number (5378766848).

Almost surely, 2^{2400854332140} is an apocalyptic number.

2400854332140 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 2400854332140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647254556672).

2400854332140 is an abundant number, since it is smaller than the sum of its proper divisors (6893654781204).

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

2400854332140 is a wasteful number, since it uses less digits than its factorization.

2400854332140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2400854332140 in words is "two trillion, four hundred billion, eight hundred fifty-four million, three hundred thirty-two thousand, one hundred forty".