2134263193920 has 1120 divisors, whose sum is σ = 9444152019456. Its totient is φ = 449490124800.

The previous prime is 2134263193889. The next prime is 2134263193961. The reversal of 2134263193920 is 293913624312.

2134263193920 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 2 + 631 + 9 + 3 + 9 + 2 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 62994585 + ... + 63028455.

Almost surely, 2^{2134263193920} is an apocalyptic number.

2134263193920 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 2134263193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722076009728).

2134263193920 is an abundant number, since it is smaller than the sum of its proper divisors (7309888825536).

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

2134263193920 is a wasteful number, since it uses less digits than its factorization.

2134263193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33941 (or 33922 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 2134263193920 in words is "two trillion, one hundred thirty-four billion, two hundred sixty-three million, one hundred ninety-three thousand, nine hundred twenty".