2440878206400 has 252 divisors, whose sum is σ = 8701684297384. Its totient is φ = 648933120000.

The previous prime is 2440878206357. The next prime is 2440878206441. The reversal of 2440878206400 is 46028780442.

2440878206400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4510350 + ... + 5022450.

Almost surely, 2^{2440878206400} is an apocalyptic number.

2440878206400 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 2440878206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350842148692).

2440878206400 is an abundant number, since it is smaller than the sum of its proper divisors (6260806090984).

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

2440878206400 is a wasteful number, since it uses less digits than its factorization.

2440878206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512460 (or 512442 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 2440878206400 in words is "two trillion, four hundred forty billion, eight hundred seventy-eight million, two hundred six thousand, four hundred".