2126346420 has 192 divisors, whose sum is σ = 6776340480. Its totient is φ = 493516800.

The previous prime is 2126346413. The next prime is 2126346421. The reversal of 2126346420 is 246436212.

It is a super-3 number, since 3×2126346420³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126346421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2106876 + ... + 2107884.

It is an arithmetic number, because the mean of its divisors is an integer number (35293440).

Almost surely, 2^2126346420 is an apocalyptic number.

2126346420 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 2126346420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388170240).

2126346420 is an abundant number, since it is smaller than the sum of its proper divisors (4649994060).

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

2126346420 is a wasteful number, since it uses less digits than its factorization.

2126346420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2126346420 is about 46112.3239492438. The cubic root of 2126346420 is about 1285.9122693704.

The spelling of 2126346420 in words is "two billion, one hundred twenty-six million, three hundred forty-six thousand, four hundred twenty".