2469528000 has 560 divisors, whose sum is σ = 9473939904. Its totient is φ = 634521600.

The previous prime is 2469527993. The next prime is 2469528041. The reversal of 2469528000 is 8259642.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23975949 + ... + 23976051.

Almost surely, 2^2469528000 is an apocalyptic number.

2469528000 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 2469528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736969952).

2469528000 is an abundant number, since it is smaller than the sum of its proper divisors (7004411904).

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

2469528000 is a wasteful number, since it uses less digits than its factorization.

2469528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2469528000 is about 49694.3457548241. The cubic root of 2469528000 is about 1351.6720024102.

The spelling of 2469528000 in words is "two billion, four hundred sixty-nine million, five hundred twenty-eight thousand".