2720615040000 has 2200 divisors, whose sum is σ = 11959453849728. Its totient is φ = 607150080000.

The previous prime is 2720615039971. The next prime is 2720615040007. The reversal of 2720615040000 is 405160272.

2720615040000 is a `hidden beast` number, since 2 + 7 + 2 + 0 + 615 + 0 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2200).

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

It is not an unprimeable number, because it can be changed into a prime (2720615040007) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 7413119817 + ... + 7413120183.

Almost surely, 2^{2720615040000} is an apocalyptic number.

2720615040000 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 2720615040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5979726924864).

2720615040000 is an abundant number, since it is smaller than the sum of its proper divisors (9238838809728).

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

2720615040000 is a wasteful number, since it uses less digits than its factorization.

2720615040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 2720615040000 in words is "two trillion, seven hundred twenty billion, six hundred fifteen million, forty thousand".