2602681721640 has 1536 divisors, whose sum is σ = 11826777600000. Its totient is φ = 494344581120.

The previous prime is 2602681721587. The next prime is 2602681721669. The reversal of 2602681721640 is 461271862062.

2602681721640 is a `hidden beast` number, since 2 + 60 + 268 + 172 + 164 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1531889511 + ... + 1531891209.

It is an arithmetic number, because the mean of its divisors is an integer number (7699725000).

Almost surely, 2^{2602681721640} is an apocalyptic number.

2602681721640 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 2602681721640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913388800000).

2602681721640 is an abundant number, since it is smaller than the sum of its proper divisors (9224095878360).

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

2602681721640 is a wasteful number, since it uses less digits than its factorization.

2602681721640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2602681721640 in words is "two trillion, six hundred two billion, six hundred eighty-one million, seven hundred twenty-one thousand, six hundred forty".