2157361406640 has 960 divisors, whose sum is σ = 8490848550912. Its totient is φ = 504338918400.

The previous prime is 2157361406597. The next prime is 2157361406677. The reversal of 2157361406640 is 466041637512.

2157361406640 is a `hidden beast` number, since 2 + 1 + 573 + 6 + 14 + 0 + 6 + 64 + 0 = 666.

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

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, 3334406797 + ... + 3334407443.

Almost surely, 2^{2157361406640} is an apocalyptic number.

2157361406640 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 2157361406640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245424275456).

2157361406640 is an abundant number, since it is smaller than the sum of its proper divisors (6333487144272).

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

2157361406640 is a wasteful number, since it uses less digits than its factorization.

2157361406640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2157361406640 in words is "two trillion, one hundred fifty-seven billion, three hundred sixty-one million, four hundred six thousand, six hundred forty".