2930109927840 has 480 divisors, whose sum is σ = 11009773638864. Its totient is φ = 731327201280.

The previous prime is 2930109927803. The next prime is 2930109927893. The reversal of 2930109927840 is 487299010392.

2930109927840 is a `hidden beast` number, since 29 + 301 + 0 + 9 + 9 + 278 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1776814352784 + 1153295575056 = 1332972^2 + 1073916^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39841182 + ... + 39914658.

Almost surely, 2^{2930109927840} is an apocalyptic number.

2930109927840 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 2930109927840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504886819432).

2930109927840 is an abundant number, since it is smaller than the sum of its proper divisors (8079663711024).

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

2930109927840 is a wasteful number, since it uses less digits than its factorization.

2930109927840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73702 (or 73685 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 2930109927840 in words is "two trillion, nine hundred thirty billion, one hundred nine million, nine hundred twenty-seven thousand, eight hundred forty".