2474742278400 has 1728 divisors, whose sum is σ = 10518626764800. Its totient is φ = 498778767360.

The previous prime is 2474742278297. The next prime is 2474742278423. The reversal of 2474742278400 is 48722474742.

It is a super-2 number, since 2×2474742278400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4731820539 + ... + 4731821061.

Almost surely, 2^{2474742278400} is an apocalyptic number.

2474742278400 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 2474742278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259313382400).

2474742278400 is an abundant number, since it is smaller than the sum of its proper divisors (8043884486400).

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

2474742278400 is a wasteful number, since it uses less digits than its factorization.

2474742278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 51.

The spelling of 2474742278400 in words is "two trillion, four hundred seventy-four billion, seven hundred forty-two million, two hundred seventy-eight thousand, four hundred".