2742410017248 has 96 divisors (see below), whose sum is σ = 7855834896000. Its totient is φ = 830761397760.

The previous prime is 2742410017231. The next prime is 2742410017283. The reversal of 2742410017248 is 8427100142472.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2815378 + ... + 3662126.

It is an arithmetic number, because the mean of its divisors is an integer number (81831613500).

Almost surely, 2^{2742410017248} is an apocalyptic number.

It is an amenable number.

2742410017248 is an abundant number, since it is smaller than the sum of its proper divisors (5113424878752).

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

2742410017248 is a wasteful number, since it uses less digits than its factorization.

2742410017248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849840 (or 849832 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The spelling of 2742410017248 in words is "two trillion, seven hundred forty-two billion, four hundred ten million, seventeen thousand, two hundred forty-eight".