2980342038240 has 288 divisors, whose sum is σ = 11625632718336. Its totient is φ = 681086315520.

The previous prime is 2980342038221. The next prime is 2980342038257. The reversal of 2980342038240 is 428302430892.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56330839 + ... + 56383721.

It is an arithmetic number, because the mean of its divisors is an integer number (40366780272).

Almost surely, 2^{2980342038240} is an apocalyptic number.

2980342038240 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 2980342038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812816359168).

2980342038240 is an abundant number, since it is smaller than the sum of its proper divisors (8645290680096).

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

2980342038240 is a wasteful number, since it uses less digits than its factorization.

2980342038240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58502 (or 58491 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2980342038240 in words is "two trillion, nine hundred eighty billion, three hundred forty-two million, thirty-eight thousand, two hundred forty".