2741613215440 has 80 divisors (see below), whose sum is σ = 7051668057216. Its totient is φ = 982908684800.

The previous prime is 2741613215437. The next prime is 2741613215461. The reversal of 2741613215440 is 445123161472.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2741613215393 and 2741613215402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21877447 + ... + 22002406.

Almost surely, 2^{2741613215440} is an apocalyptic number.

2741613215440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2741613215440 is an abundant number, since it is smaller than the sum of its proper divisors (4310054841776).

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

2741613215440 is a wasteful number, since it uses less digits than its factorization.

2741613215440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43879948 (or 43879942 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 2741613215440 in words is "two trillion, seven hundred forty-one billion, six hundred thirteen million, two hundred fifteen thousand, four hundred forty".