2130714982656 has 1152 divisors, whose sum is σ = 7454628249600. Its totient is φ = 594449694720.

The previous prime is 2130714982609. The next prime is 2130714982657. The reversal of 2130714982656 is 6562894170312.

It is a happy number.

2130714982656 is a `hidden beast` number, since 2 + 1 + 30 + 71 + 498 + 2 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-4 number, since 4×2130714982656⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2130714982657) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6721498210 + ... + 6721498526.

It is a 1-persistent number, because it is pandigital, but 2⋅2130714982656 = 4261429965312 is not.

Almost surely, 2^{2130714982656} is an apocalyptic number.

2130714982656 is a gapful number since it is divisible by the number (26) 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 2130714982656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727314124800).

2130714982656 is an abundant number, since it is smaller than the sum of its proper divisors (5323913266944).

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

2130714982656 is a wasteful number, since it uses less digits than its factorization.

2130714982656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2130714982656 in words is "two trillion, one hundred thirty billion, seven hundred fourteen million, nine hundred eighty-two thousand, six hundred fifty-six".