2542933440 has 560 divisors, whose sum is σ = 9957816000. Its totient is φ = 613122048.

The previous prime is 2542933427. The next prime is 2542933489. The reversal of 2542933440 is 443392452.

2542933440 is a `hidden beast` number, since 25 + 4 + 293 + 344 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2542933395 and 2542933404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12778461 + ... + 12778659.

Almost surely, 2^2542933440 is an apocalyptic number.

2542933440 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 2542933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978908000).

2542933440 is an abundant number, since it is smaller than the sum of its proper divisors (7414882560).

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

2542933440 is a wasteful number, since it uses less digits than its factorization.

2542933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2542933440 is about 50427.5067795345. The cubic root of 2542933440 is about 1364.9340385950.

The spelling of 2542933440 in words is "two billion, five hundred forty-two million, nine hundred thirty-three thousand, four hundred forty".