2602968238080 has 1536 divisors, whose sum is σ = 11299212288000. Its totient is φ = 555154145280.

The previous prime is 2602968238049. The next prime is 2602968238109. The reversal of 2602968238080 is 808328692062.

2602968238080 is a `hidden beast` number, since 2 + 602 + 9 + 6 + 8 + 23 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2610800142 + ... + 2610801138.

It is an arithmetic number, because the mean of its divisors is an integer number (7356258000).

Almost surely, 2^{2602968238080} is an apocalyptic number.

2602968238080 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 2602968238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649606144000).

2602968238080 is an abundant number, since it is smaller than the sum of its proper divisors (8696244049920).

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

2602968238080 is a wasteful number, since it uses less digits than its factorization.

2602968238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2602968238080 in words is "two trillion, six hundred two billion, nine hundred sixty-eight million, two hundred thirty-eight thousand, eighty".