2190531879480 has 256 divisors, whose sum is σ = 8082549826560. Its totient is φ = 463515033600.

The previous prime is 2190531879467. The next prime is 2190531879491. The reversal of 2190531879480 is 849781350912.

It is a super-3 number, since 3×2190531879480³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2190531879480.

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, 386286 + ... + 2128445.

It is an arithmetic number, because the mean of its divisors is an integer number (31572460260).

Almost surely, 2^{2190531879480} is an apocalyptic number.

2190531879480 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 2190531879480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041274913280).

2190531879480 is an abundant number, since it is smaller than the sum of its proper divisors (5892017947080).

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

2190531879480 is a wasteful number, since it uses less digits than its factorization.

2190531879480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514830 (or 2514826 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 2190531879480 in words is "two trillion, one hundred ninety billion, five hundred thirty-one million, eight hundred seventy-nine thousand, four hundred eighty".