2133494400 has 384 divisors, whose sum is σ = 7430952960. Its totient is φ = 537292800.

The previous prime is 2133494381. The next prime is 2133494411. The reversal of 2133494400 is 44943312.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 19939147 + ... + 19939253.

It is an arithmetic number, because the mean of its divisors is an integer number (19351440).

Almost surely, 2^2133494400 is an apocalyptic number.

2133494400 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 2133494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715476480).

2133494400 is an abundant number, since it is smaller than the sum of its proper divisors (5297458560).

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

2133494400 is a wasteful number, since it uses less digits than its factorization.

2133494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2133494400 is about 46189.7651000738. The cubic root of 2133494400 is about 1287.3515761916.

The spelling of 2133494400 in words is "two billion, one hundred thirty-three million, four hundred ninety-four thousand, four hundred".