2132409377280 has 1280 divisors, whose sum is σ = 8688893875200. Its totient is φ = 443231502336.

The previous prime is 2132409377279. The next prime is 2132409377317. The reversal of 2132409377280 is 827739042312.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2499893334 + ... + 2499894186.

It is an arithmetic number, because the mean of its divisors is an integer number (6788198340).

Almost surely, 2^{2132409377280} is an apocalyptic number.

2132409377280 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 2132409377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344446937600).

2132409377280 is an abundant number, since it is smaller than the sum of its proper divisors (6556484497920).

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

2132409377280 is an equidigital number, since it uses as much as digits as its factorization.

2132409377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 2132409377280 in words is "two trillion, one hundred thirty-two billion, four hundred nine million, three hundred seventy-seven thousand, two hundred eighty".