2478562464000 has 1728 divisors, whose sum is σ = 10531481006592. Its totient is φ = 504299520000.

The previous prime is 2478562463999. The next prime is 2478562464013. The reversal of 2478562464000 is 4642658742.

It is a super-2 number, since 2×2478562464000² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4124063700 + ... + 4124064300.

It is an arithmetic number, because the mean of its divisors is an integer number (6094607064).

Almost surely, 2^{2478562464000} is an apocalyptic number.

2478562464000 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 2478562464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265740503296).

2478562464000 is an abundant number, since it is smaller than the sum of its proper divisors (8052918542592).

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

2478562464000 is a wasteful number, since it uses less digits than its factorization.

2478562464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 2478562464000 in words is "two trillion, four hundred seventy-eight billion, five hundred sixty-two million, four hundred sixty-four thousand".