2472478001280 has 2304 divisors, whose sum is σ = 10970878464000. Its totient is φ = 509588029440.

The previous prime is 2472478001251. The next prime is 2472478001309. The reversal of 2472478001280 is 821008742742.

2472478001280 is a `hidden beast` number, since 24 + 72 + 478 + 0 + 0 + 12 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2472478001251) and next prime (2472478001309).

It is a super-2 number, since 2×2472478001280² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17787611451 + ... + 17787611589.

It is an arithmetic number, because the mean of its divisors is an integer number (4761666000).

Almost surely, 2^{2472478001280} is an apocalyptic number.

2472478001280 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 2472478001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485439232000).

2472478001280 is an abundant number, since it is smaller than the sum of its proper divisors (8498400462720).

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

2472478001280 is a wasteful number, since it uses less digits than its factorization.

2472478001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 2472478001280 in words is "two trillion, four hundred seventy-two billion, four hundred seventy-eight million, one thousand, two hundred eighty".