2030879937240 has 768 divisors, whose sum is σ = 8994211799040. Its totient is φ = 384362496000.

The previous prime is 2030879937217. The next prime is 2030879937241. The reversal of 2030879937240 is 427399780302.

2030879937240 is a `hidden beast` number, since 2 + 0 + 308 + 7 + 9 + 93 + 7 + 240 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030879937241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14538930 + ... + 14677950.

It is an arithmetic number, because the mean of its divisors is an integer number (11711213280).

Almost surely, 2^{2030879937240} is an apocalyptic number.

2030879937240 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 2030879937240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497105899520).

2030879937240 is an abundant number, since it is smaller than the sum of its proper divisors (6963331861800).

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

2030879937240 is a wasteful number, since it uses less digits than its factorization.

2030879937240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139104 (or 139097 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 2030879937240 in words is "two trillion, thirty billion, eight hundred seventy-nine million, nine hundred thirty-seven thousand, two hundred forty".