2600670240 has 480 divisors, whose sum is σ = 10625852160. Its totient is φ = 586745856.

The previous prime is 2600670209. The next prime is 2600670271. The reversal of 2600670240 is 420760062.

It is an interprime number because it is at equal distance from previous prime (2600670209) and next prime (2600670271).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9888349 + ... + 9888611.

It is an arithmetic number, because the mean of its divisors is an integer number (22137192).

Almost surely, 2^2600670240 is an apocalyptic number.

2600670240 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 2600670240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312926080).

2600670240 is an abundant number, since it is smaller than the sum of its proper divisors (8025181920).

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

2600670240 is a wasteful number, since it uses less digits than its factorization.

2600670240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2600670240 is about 50996.7669563473. The cubic root of 2600670240 is about 1375.1870141222.

The spelling of 2600670240 in words is "two billion, six hundred million, six hundred seventy thousand, two hundred forty".