2602041644340 has 288 divisors, whose sum is σ = 8176476147840. Its totient is φ = 669395155968.

The previous prime is 2602041644333. The next prime is 2602041644341. The reversal of 2602041644340 is 434461402062.

2602041644340 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 0 + 4 + 1 + 644 + 3 + 4 + 0 = 666.

2602041644340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2602041644340² (a number of 26 digits) contains 22 as substring.

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 = 2602041644295 and 2602041644304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2602041644341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211938282 + ... + 211950558.

It is an arithmetic number, because the mean of its divisors is an integer number (28390542180).

Almost surely, 2^{2602041644340} is an apocalyptic number.

2602041644340 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 2602041644340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088238073920).

2602041644340 is an abundant number, since it is smaller than the sum of its proper divisors (5574434503500).

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

2602041644340 is a wasteful number, since it uses less digits than its factorization.

2602041644340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12671 (or 12666 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 2602041644340 in words is "two trillion, six hundred two billion, forty-one million, six hundred forty-four thousand, three hundred forty".