2662601088000 has 1408 divisors, whose sum is σ = 10457331056640. Its totient is φ = 588836044800.

The previous prime is 2662601087999. The next prime is 2662601088001. The reversal of 2662601088000 is 8801062662.

It is an interprime number because it is at equal distance from previous prime (2662601087999) and next prime (2662601088001).

It is a super-3 number, since 3×2662601088000³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2662601088000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2662601088001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16334975919 + ... + 16334976081.

Almost surely, 2^{2662601088000} is an apocalyptic number.

2662601088000 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 2662601088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228665528320).

2662601088000 is an abundant number, since it is smaller than the sum of its proper divisors (7794729968640).

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

2662601088000 is a wasteful number, since it uses less digits than its factorization.

2662601088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 2662601088000 in words is "two trillion, six hundred sixty-two billion, six hundred one million, eighty-eight thousand".