2153630661540 has 96 divisors (see below), whose sum is σ = 6243825893760. Its totient is φ = 553989273600.

The previous prime is 2153630661509. The next prime is 2153630661607. The reversal of 2153630661540 is 451660363512.

It is a junction number, because it is equal to n+sod(n) for n = 2153630661492 and 2153630661501.

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, 1331100 + ... + 2465580.

It is an arithmetic number, because the mean of its divisors is an integer number (65039853060).

Almost surely, 2^{2153630661540} is an apocalyptic number.

2153630661540 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 2153630661540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121912946880).

2153630661540 is an abundant number, since it is smaller than the sum of its proper divisors (4090195232220).

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

2153630661540 is a wasteful number, since it uses less digits than its factorization.

2153630661540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135613 (or 1135611 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 2153630661540 in words is "two trillion, one hundred fifty-three billion, six hundred thirty million, six hundred sixty-one thousand, five hundred forty".