2140510263084 has 192 divisors, whose sum is σ = 5907804672000. Its totient is φ = 669028377600.

The previous prime is 2140510263079. The next prime is 2140510263091. The reversal of 2140510263084 is 4803620150412.

It is a happy number.

2140510263084 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 5 + 10 + 2 + 630 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 29818267 + ... + 29889965.

It is an arithmetic number, because the mean of its divisors is an integer number (30769816000).

Almost surely, 2^{2140510263084} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140510263084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953902336000).

2140510263084 is an abundant number, since it is smaller than the sum of its proper divisors (3767294408916).

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

2140510263084 is a wasteful number, since it uses less digits than its factorization.

2140510263084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72021 (or 72013 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2140510263084 in words is "two trillion, one hundred forty billion, five hundred ten million, two hundred sixty-three thousand, eighty-four".