2146707332640 has 576 divisors, whose sum is σ = 8372622900096. Its totient is φ = 496181477376.

The previous prime is 2146707332639. The next prime is 2146707332641. The reversal of 2146707332640 is 462337076412.

2146707332640 is a `hidden beast` number, since 214 + 6 + 7 + 0 + 73 + 326 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2146707332639) and next prime (2146707332641).

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

It is not an unprimeable number, because it can be changed into a prime (2146707332641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140972707 + ... + 140987933.

It is an arithmetic number, because the mean of its divisors is an integer number (14535803646).

Almost surely, 2^{2146707332640} is an apocalyptic number.

2146707332640 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 2146707332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186311450048).

2146707332640 is an abundant number, since it is smaller than the sum of its proper divisors (6225915567456).

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

2146707332640 is a wasteful number, since it uses less digits than its factorization.

2146707332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15721 (or 15710 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 2146707332640 in words is "two trillion, one hundred forty-six billion, seven hundred seven million, three hundred thirty-two thousand, six hundred forty".