2470301340 has 288 divisors, whose sum is σ = 8143865856. Its totient is φ = 555517440.

The previous prime is 2470301311. The next prime is 2470301357. The reversal of 2470301340 is 431030742.

It is a super-3 number, since 3×2470301340³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2470301340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8728839 + ... + 8729121.

It is an arithmetic number, because the mean of its divisors is an integer number (28277312).

Almost surely, 2^2470301340 is an apocalyptic number.

2470301340 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 2470301340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071932928).

2470301340 is an abundant number, since it is smaller than the sum of its proper divisors (5673564516).

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

2470301340 is a wasteful number, since it uses less digits than its factorization.

2470301340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 2470301340 is about 49702.1261114653. The cubic root of 2470301340 is about 1351.8130810471.

It can be divided in two parts, 2470 and 301340, that added together give a triangular number (303810 = T₇₇₉).

The spelling of 2470301340 in words is "two billion, four hundred seventy million, three hundred one thousand, three hundred forty".