2744990492928 has 288 divisors, whose sum is σ = 7775768448000. Its totient is φ = 857801269248.

The previous prime is 2744990492899. The next prime is 2744990492957. The reversal of 2744990492928 is 8292940994472.

2744990492928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2744990492899) and next prime (2744990492957).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363715651 + ... + 363723197.

It is an arithmetic number, because the mean of its divisors is an integer number (26999196000).

Almost surely, 2^{2744990492928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2744990492928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887884224000).

2744990492928 is an abundant number, since it is smaller than the sum of its proper divisors (5030777955072).

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

2744990492928 is a wasteful number, since it uses less digits than its factorization.

2744990492928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7997 (or 7983 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 69.

The spelling of 2744990492928 in words is "two trillion, seven hundred forty-four billion, nine hundred ninety million, four hundred ninety-two thousand, nine hundred twenty-eight".