2159147767040 has 576 divisors, whose sum is σ = 6053620285440. Its totient is φ = 729615237120.

The previous prime is 2159147767037. The next prime is 2159147767057. The reversal of 2159147767040 is 407677419512.

It is a super-2 number, since 2×2159147767040² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3499428812 + ... + 3499429428.

It is an arithmetic number, because the mean of its divisors is an integer number (10509757440).

Almost surely, 2^{2159147767040} is an apocalyptic number.

2159147767040 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 2159147767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026810142720).

2159147767040 is an abundant number, since it is smaller than the sum of its proper divisors (3894472518400).

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

2159147767040 is a wasteful number, since it uses less digits than its factorization.

2159147767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 53.

The spelling of 2159147767040 in words is "two trillion, one hundred fifty-nine billion, one hundred forty-seven million, seven hundred sixty-seven thousand, forty".