2478278880000 has 3240 divisors, whose sum is σ = 11810130748416. Its totient is φ = 493516800000.

The previous prime is 2478278879987. The next prime is 2478278880001. The reversal of 2478278880000 is 888728742.

It is a super-2 number, since 2×2478278880000² (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 (2478278880001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 24060959949 + ... + 24060960051.

Almost surely, 2^{2478278880000} is an apocalyptic number.

2478278880000 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 2478278880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905065374208).

2478278880000 is an abundant number, since it is smaller than the sum of its proper divisors (9331851868416).

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

2478278880000 is a wasteful number, since it uses less digits than its factorization.

2478278880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 2478278880000 in words is "two trillion, four hundred seventy-eight billion, two hundred seventy-eight million, eight hundred eighty thousand".