2742461747753 has 24 divisors (see below), whose sum is σ = 3616433089920. Its totient is φ = 2055656685600.

The previous prime is 2742461747723. The next prime is 2742461747759. The reversal of 2742461747753 is 3577471642472.

It is not a de Polignac number, because 2742461747753 - 2³⁶ = 2673742271017 is a prime.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2742461747692 and 2742461747701.

It is not an unprimeable number, because it can be changed into a prime (2742461747759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113284673 + ... + 113308878.

It is an arithmetic number, because the mean of its divisors is an integer number (150684712080).

Almost surely, 2^{2742461747753} is an apocalyptic number.

It is an amenable number.

2742461747753 is a deficient number, since it is larger than the sum of its proper divisors (873971342167).

2742461747753 is a wasteful number, since it uses less digits than its factorization.

2742461747753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226593597 (or 226593590 counting only the distinct ones).

The product of its digits is 55319040, while the sum is 59.

The spelling of 2742461747753 in words is "two trillion, seven hundred forty-two billion, four hundred sixty-one million, seven hundred forty-seven thousand, seven hundred fifty-three".