2602679040 has 360 divisors, whose sum is σ = 10034429328. Its totient is φ = 640327680.

The previous prime is 2602678987. The next prime is 2602679041. The reversal of 2602679040 is 409762062.

It is a happy number.

2602679040 is a `hidden beast` number, since 2 + 602 + 6 + 7 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2602678986 and 2602679004.

It is not an unprimeable number, because it can be changed into a prime (2602679041) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1346875 + ... + 1348805.

Almost surely, 2^2602679040 is an apocalyptic number.

2602679040 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 2602679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017214664).

2602679040 is an abundant number, since it is smaller than the sum of its proper divisors (7431750288).

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

2602679040 is a wasteful number, since it uses less digits than its factorization.

2602679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2602679040 is about 51016.4585207558. The cubic root of 2602679040 is about 1375.5409952712.

The spelling of 2602679040 in words is "two billion, six hundred two million, six hundred seventy-nine thousand, forty".