2472659280 has 360 divisors, whose sum is σ = 10280020608. Its totient is φ = 521524224.

The previous prime is 2472659249. The next prime is 2472659291. The reversal of 2472659280 is 829562742.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2472659280² = 12228087829940236800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 850309 + ... + 853211.

Almost surely, 2^2472659280 is an apocalyptic number.

2472659280 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 2472659280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140010304).

2472659280 is an abundant number, since it is smaller than the sum of its proper divisors (7807361328).

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

2472659280 is a wasteful number, since it uses less digits than its factorization.

2472659280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2472659280 is about 49725.8411693558. The cubic root of 2472659280 is about 1352.2430529500.

The spelling of 2472659280 in words is "two billion, four hundred seventy-two million, six hundred fifty-nine thousand, two hundred eighty".