2720888790400 has 192 divisors, whose sum is σ = 7401024250560. Its totient is φ = 980165888000.

The previous prime is 2720888790383. The next prime is 2720888790419. The reversal of 2720888790400 is 40978880272.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3405195 + ... + 4127605.

It is an arithmetic number, because the mean of its divisors is an integer number (38547001305).

Almost surely, 2^{2720888790400} is an apocalyptic number.

2720888790400 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 2720888790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700512125280).

2720888790400 is an abundant number, since it is smaller than the sum of its proper divisors (4680135460160).

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

2720888790400 is a wasteful number, since it uses less digits than its factorization.

2720888790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722553 (or 722536 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 55.

The spelling of 2720888790400 in words is "two trillion, seven hundred twenty billion, eight hundred eighty-eight million, seven hundred ninety thousand, four hundred".