2720965262400 has 2688 divisors, whose sum is σ = 12892214845440. Its totient is φ = 541900800000.

The previous prime is 2720965262387. The next prime is 2720965262429. The reversal of 2720965262400 is 42625690272.

2720965262400 is a `hidden beast` number, since 272 + 0 + 96 + 52 + 6 + 240 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9683150260 + ... + 9683150540.

It is an arithmetic number, because the mean of its divisors is an integer number (4796210880).

Almost surely, 2^{2720965262400} is an apocalyptic number.

2720965262400 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 2720965262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446107422720).

2720965262400 is an abundant number, since it is smaller than the sum of its proper divisors (10171249583040).

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

2720965262400 is a wasteful number, since it uses less digits than its factorization.

2720965262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2720965262400 in words is "two trillion, seven hundred twenty billion, nine hundred sixty-five million, two hundred sixty-two thousand, four hundred".