2146015400640 has 224 divisors, whose sum is σ = 6981882034176. Its totient is φ = 558145167360.

The previous prime is 2146015400609. The next prime is 2146015400651. The reversal of 2146015400640 is 460045106412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182742609 + ... + 182754351.

It is an arithmetic number, because the mean of its divisors is an integer number (31169116224).

Almost surely, 2^{2146015400640} is an apocalyptic number.

2146015400640 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 2146015400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490941017088).

2146015400640 is an abundant number, since it is smaller than the sum of its proper divisors (4835866633536).

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

2146015400640 is a wasteful number, since it uses less digits than its factorization.

2146015400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16447 (or 16437 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 2146015400640 in words is "two trillion, one hundred forty-six billion, fifteen million, four hundred thousand, six hundred forty".