2130285201408 has 1152 divisors, whose sum is σ = 7971365001600. Its totient is φ = 557160726528.

The previous prime is 2130285201389. The next prime is 2130285201463. The reversal of 2130285201408 is 8041025820312.

It is a happy number.

2130285201408 is a `hidden beast` number, since 2 + 130 + 285 + 201 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 6939039591 + ... + 6939039897.

It is an arithmetic number, because the mean of its divisors is an integer number (6919587675).

Almost surely, 2^{2130285201408} is an apocalyptic number.

2130285201408 is a gapful number since it is divisible by the number (28) 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 2130285201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985682500800).

2130285201408 is an abundant number, since it is smaller than the sum of its proper divisors (5841079800192).

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

2130285201408 is a wasteful number, since it uses less digits than its factorization.

2130285201408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 2130285201408 in words is "two trillion, one hundred thirty billion, two hundred eighty-five million, two hundred one thousand, four hundred eight".