2470209280 has 288 divisors, whose sum is σ = 7502035968. Its totient is φ = 756940800.

The previous prime is 2470209253. The next prime is 2470209307. The reversal of 2470209280 is 829020742.

It is an interprime number because it is at equal distance from previous prime (2470209253) and next prime (2470209307).

It is a super-2 number, since 2×2470209280² = 12203867773996236800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6997584 + ... + 6997936.

It is an arithmetic number, because the mean of its divisors is an integer number (26048736).

Almost surely, 2^2470209280 is an apocalyptic number.

2470209280 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 2470209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751017984).

2470209280 is an abundant number, since it is smaller than the sum of its proper divisors (5031826688).

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

2470209280 is a wasteful number, since it uses less digits than its factorization.

2470209280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2470209280 is about 49701.1999855134. The cubic root of 2470209280 is about 1351.7962882972.

The spelling of 2470209280 in words is "two billion, four hundred seventy million, two hundred nine thousand, two hundred eighty".