2532003840 has 416 divisors, whose sum is σ = 9514665600. Its totient is φ = 637009920.

The previous prime is 2532003823. The next prime is 2532003883. The reversal of 2532003840 is 483002352.

It is a super-2 number, since 2×2532003840² = 12822086891549491200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10506120 + ... + 10506360.

Almost surely, 2^2532003840 is an apocalyptic number.

2532003840 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 2532003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757332800).

2532003840 is an abundant number, since it is smaller than the sum of its proper divisors (6982661760).

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

2532003840 is a wasteful number, since it uses less digits than its factorization.

2532003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2532003840 is about 50319.0206581964. The cubic root of 2532003840 is about 1362.9757218811.

The spelling of 2532003840 in words is "two billion, five hundred thirty-two million, three thousand, eight hundred forty".