2473765760 has 64 divisors (see below), whose sum is σ = 5940708480. Its totient is φ = 985012224.

The previous prime is 2473765739. The next prime is 2473765771. The reversal of 2473765760 is 675673742.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2473765760² = 12239034070696755200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134054 + ... + 151386.

It is an arithmetic number, because the mean of its divisors is an integer number (92823570).

Almost surely, 2^2473765760 is an apocalyptic number.

2473765760 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 2473765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970354240).

2473765760 is an abundant number, since it is smaller than the sum of its proper divisors (3466942720).

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

2473765760 is a wasteful number, since it uses less digits than its factorization.

2473765760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17575 (or 17563 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 47.

The square root of 2473765760 is about 49736.9657297266. The cubic root of 2473765760 is about 1352.4447260744. Note that the first 3 decimals are identical.

The spelling of 2473765760 in words is "two billion, four hundred seventy-three million, seven hundred sixty-five thousand, seven hundred sixty".