2505922944 has 512 divisors, whose sum is σ = 8742297600. Its totient is φ = 619315200.

The previous prime is 2505922921. The next prime is 2505922949. The reversal of 2505922944 is 4492295052.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 2505922896 and 2505922905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505922949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41080674 + ... + 41080734.

It is an arithmetic number, because the mean of its divisors is an integer number (17074800).

Almost surely, 2^2505922944 is an apocalyptic number.

2505922944 is a gapful number since it is divisible by the number (24) 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 2505922944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371148800).

2505922944 is an abundant number, since it is smaller than the sum of its proper divisors (6236374656).

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

2505922944 is a wasteful number, since it uses less digits than its factorization.

2505922944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 2505922944 is about 50059.1944002298. The cubic root of 2505922944 is about 1358.2797858659.

The spelling of 2505922944 in words is "two billion, five hundred five million, nine hundred twenty-two thousand, nine hundred forty-four".