2651201280000 has 2400 divisors, whose sum is σ = 12222426696480. Its totient is φ = 557383680000.

The previous prime is 2651201279999. The next prime is 2651201280037. The reversal of 2651201280000 is 821021562.

It is a happy number.

2651201280000 is a `hidden beast` number, since 2 + 651 + 2 + 0 + 1 + 2 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-3 number, since 3×2651201280000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 9434879860 + ... + 9434880140.

Almost surely, 2^{2651201280000} is an apocalyptic number.

2651201280000 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 2651201280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6111213348240).

2651201280000 is an abundant number, since it is smaller than the sum of its proper divisors (9571225416480).

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

2651201280000 is an equidigital number, since it uses as much as digits as its factorization.

2651201280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 2651201280000 in words is "two trillion, six hundred fifty-one billion, two hundred one million, two hundred eighty thousand".