2162126400 has 336 divisors, whose sum is σ = 8171322240. Its totient is φ = 490291200.

The previous prime is 2162126371. The next prime is 2162126429. The reversal of 2162126400 is 46212612.

It is an interprime number because it is at equal distance from previous prime (2162126371) and next prime (2162126429).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7694260 + ... + 7694540.

Almost surely, 2^2162126400 is an apocalyptic number.

2162126400 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 2162126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085661120).

2162126400 is an abundant number, since it is smaller than the sum of its proper divisors (6009195840).

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

2162126400 is a wasteful number, since it uses less digits than its factorization.

2162126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2162126400 is about 46498.6709487486. The cubic root of 2162126400 is about 1293.0848591522.

It can be divided in two parts, 21 and 62126400, that multiplied together give a square (1304654400 = 36120²).

The spelling of 2162126400 in words is "two billion, one hundred sixty-two million, one hundred twenty-six thousand, four hundred".