2469139200 has 540 divisors, whose sum is σ = 9982491288. Its totient is φ = 597196800.

The previous prime is 2469139147. The next prime is 2469139201. The reversal of 2469139200 is 29319642.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2469139201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5702184 + ... + 5702616.

Almost surely, 2^2469139200 is an apocalyptic number.

2469139200 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 2469139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991245644).

2469139200 is an abundant number, since it is smaller than the sum of its proper divisors (7513352088).

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

2469139200 is a wasteful number, since it uses less digits than its factorization.

2469139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2469139200 is about 49690.4336869784. The cubic root of 2469139200 is about 1351.6010633945.

The spelling of 2469139200 in words is "two billion, four hundred sixty-nine million, one hundred thirty-nine thousand, two hundred".