2673740240640 has 1728 divisors, whose sum is σ = 12126525465600. Its totient is φ = 553649209344.

The previous prime is 2673740240629. The next prime is 2673740240651. The reversal of 2673740240640 is 460420473762.

It is an interprime number because it is at equal distance from previous prime (2673740240629) and next prime (2673740240651).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 740031474 + ... + 740035086.

It is an arithmetic number, because the mean of its divisors is an integer number (7017665200).

Almost surely, 2^{2673740240640} is an apocalyptic number.

2673740240640 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 2673740240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063262732800).

2673740240640 is an abundant number, since it is smaller than the sum of its proper divisors (9452785224960).

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

2673740240640 is a wasteful number, since it uses less digits than its factorization.

2673740240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 2673740240640 in words is "two trillion, six hundred seventy-three billion, seven hundred forty million, two hundred forty thousand, six hundred forty".