2470945260 has 192 divisors, whose sum is σ = 8079418368. Its totient is φ = 552600576.

The previous prime is 2470945247. The next prime is 2470945313. The reversal of 2470945260 is 625490742.

2470945260 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2470945260² = 12211140955832935200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7794622 + ... + 7794938.

It is an arithmetic number, because the mean of its divisors is an integer number (42080304).

Almost surely, 2^2470945260 is an apocalyptic number.

2470945260 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 2470945260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039709184).

2470945260 is an abundant number, since it is smaller than the sum of its proper divisors (5608473108).

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

2470945260 is a wasteful number, since it uses less digits than its factorization.

2470945260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2470945260 is about 49708.6034806853. The cubic root of 2470945260 is about 1351.9305274282.

The spelling of 2470945260 in words is "two billion, four hundred seventy million, nine hundred forty-five thousand, two hundred sixty".