2494934400 has 384 divisors, whose sum is σ = 9495106560. Its totient is φ = 564019200.

The previous prime is 2494934363. The next prime is 2494934401. The reversal of 2494934400 is 44394942.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2494934401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9206265 + ... + 9206535.

It is an arithmetic number, because the mean of its divisors is an integer number (24726840).

Almost surely, 2^2494934400 is an apocalyptic number.

2494934400 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 2494934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747553280).

2494934400 is an abundant number, since it is smaller than the sum of its proper divisors (7000172160).

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

2494934400 is a wasteful number, since it uses less digits than its factorization.

2494934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2494934400 is about 49949.3183136667. The cubic root of 2494934400 is about 1356.2915115385.

The spelling of 2494934400 in words is "two billion, four hundred ninety-four million, nine hundred thirty-four thousand, four hundred".