2400553410460 has 96 divisors (see below), whose sum is σ = 5476974048000. Its totient is φ = 880917244416.

The previous prime is 2400553410413. The next prime is 2400553410469. The reversal of 2400553410460 is 640143550042.

2400553410460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2400553410460² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400553410469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703096 + ... + 2301184.

It is an arithmetic number, because the mean of its divisors is an integer number (57051813000).

Almost surely, 2^{2400553410460} is an apocalyptic number.

2400553410460 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 2400553410460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738487024000).

2400553410460 is an abundant number, since it is smaller than the sum of its proper divisors (3076420637540).

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

2400553410460 is a wasteful number, since it uses less digits than its factorization.

2400553410460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598243 (or 1598241 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 2400553410460 in words is "two trillion, four hundred billion, five hundred fifty-three million, four hundred ten thousand, four hundred sixty".