2562945840 has 960 divisors, whose sum is σ = 11763532800. Its totient is φ = 500318208.

The previous prime is 2562945809. The next prime is 2562945877. The reversal of 2562945840 is 485492652.

2562945840 is a `hidden beast` number, since 2 + 5 + 62 + 9 + 4 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43439731 + ... + 43439789.

It is an arithmetic number, because the mean of its divisors is an integer number (12253680).

Almost surely, 2^2562945840 is an apocalyptic number.

2562945840 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 2562945840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881766400).

2562945840 is an abundant number, since it is smaller than the sum of its proper divisors (9200586960).

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

2562945840 is a wasteful number, since it uses less digits than its factorization.

2562945840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2562945840 is about 50625.5453303962. The cubic root of 2562945840 is about 1368.5052765704.

The spelling of 2562945840 in words is "two billion, five hundred sixty-two million, nine hundred forty-five thousand, eight hundred forty".