2400054430260 has 192 divisors, whose sum is σ = 7076501913600. Its totient is φ = 606598046208.

The previous prime is 2400054430259. The next prime is 2400054430369. The reversal of 2400054430260 is 620344500042.

It is a super-2 number, since 2×2400054430260² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145282281 + ... + 145298799.

It is an arithmetic number, because the mean of its divisors is an integer number (36856780800).

Almost surely, 2^{2400054430260} is an apocalyptic number.

2400054430260 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 2400054430260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538250956800).

2400054430260 is an abundant number, since it is smaller than the sum of its proper divisors (4676447483340).

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

2400054430260 is a wasteful number, since it uses less digits than its factorization.

2400054430260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17510 (or 17508 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 2400054430260 in words is "two trillion, four hundred billion, fifty-four million, four hundred thirty thousand, two hundred sixty".