2130405674400 has 432 divisors, whose sum is σ = 7548444618624. Its totient is φ = 565386301440.

The previous prime is 2130405674381. The next prime is 2130405674413. The reversal of 2130405674400 is 44765040312.

2130405674400 is a `hidden beast` number, since 2 + 13 + 0 + 40 + 567 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1931464249 + ... + 1931465351.

It is an arithmetic number, because the mean of its divisors is an integer number (17473251432).

Almost surely, 2^{2130405674400} is an apocalyptic number.

2130405674400 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 2130405674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774222309312).

2130405674400 is an abundant number, since it is smaller than the sum of its proper divisors (5418038944224).

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

2130405674400 is a wasteful number, since it uses less digits than its factorization.

2130405674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2130405674400 in words is "two trillion, one hundred thirty billion, four hundred five million, six hundred seventy-four thousand, four hundred".