2059342979400 has 960 divisors, whose sum is σ = 8722929494400. Its totient is φ = 439790653440.

The previous prime is 2059342979363. The next prime is 2059342979411. The reversal of 2059342979400 is 49792439502.

2059342979400 is a `hidden beast` number, since 2 + 0 + 593 + 4 + 2 + 9 + 7 + 9 + 40 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 157279254 + ... + 157292346.

It is an arithmetic number, because the mean of its divisors is an integer number (9086384890).

Almost surely, 2^{2059342979400} is an apocalyptic number.

2059342979400 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 2059342979400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361464747200).

2059342979400 is an abundant number, since it is smaller than the sum of its proper divisors (6663586515000).

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

2059342979400 is a wasteful number, since it uses less digits than its factorization.

2059342979400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13220 (or 13202 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 2059342979400 in words is "two trillion, fifty-nine billion, three hundred forty-two million, nine hundred seventy-nine thousand, four hundred".