2478233027280 has 240 divisors, whose sum is σ = 8038884407040. Its totient is φ = 631443870720.

The previous prime is 2478233027269. The next prime is 2478233027297. The reversal of 2478233027280 is 827203328742.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2478233027280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18152554 + ... + 18288566.

It is an arithmetic number, because the mean of its divisors is an integer number (33495351696).

Almost surely, 2^{2478233027280} is an apocalyptic number.

2478233027280 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 2478233027280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019442203520).

2478233027280 is an abundant number, since it is smaller than the sum of its proper divisors (5560651379760).

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

2478233027280 is a wasteful number, since it uses less digits than its factorization.

2478233027280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136170 (or 136133 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 2478233027280 in words is "two trillion, four hundred seventy-eight billion, two hundred thirty-three million, twenty-seven thousand, two hundred eighty".