2262121400 has 96 divisors (see below), whose sum is σ = 6557258880. Its totient is φ = 705072000.

The previous prime is 2262121397. The next prime is 2262121403. The reversal of 2262121400 is 41212622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2262121397) and next prime (2262121403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262121403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58046 + ... + 88845.

It is an arithmetic number, because the mean of its divisors is an integer number (68304780).

Almost surely, 2^2262121400 is an apocalyptic number.

2262121400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2262121400 is an abundant number, since it is smaller than the sum of its proper divisors (4295137480).

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

2262121400 is a wasteful number, since it uses less digits than its factorization.

2262121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146925 (or 146916 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2262121400 is about 47561.7640547531. The cubic root of 2262121400 is about 1312.7195992348.

The spelling of 2262121400 in words is "two billion, two hundred sixty-two million, one hundred twenty-one thousand, four hundred".