2126035218450 has 576 divisors, whose sum is σ = 6375128965632. Its totient is φ = 464687308800.

The previous prime is 2126035218431. The next prime is 2126035218499. The reversal of 2126035218450 is 548125306212.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2126035218399 and 2126035218408.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2245020877 + ... + 2245021823.

It is an arithmetic number, because the mean of its divisors is an integer number (11067932232).

Almost surely, 2^{2126035218450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126035218450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187564482816).

2126035218450 is an abundant number, since it is smaller than the sum of its proper divisors (4249093747182).

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

2126035218450 is a wasteful number, since it uses less digits than its factorization.

2126035218450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 2126035218450 in words is "two trillion, one hundred twenty-six billion, thirty-five million, two hundred eighteen thousand, four hundred fifty".