2509057782 has 160 divisors (see below), whose sum is σ = 7110664704. Its totient is φ = 642297600.

The previous prime is 2509057769. The next prime is 2509057807. The reversal of 2509057782 is 2877509052.

It is a happy number.

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, 884238 + ... + 887070.

Almost surely, 2^2509057782 is an apocalyptic number.

2509057782 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509057782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555332352).

2509057782 is an abundant number, since it is smaller than the sum of its proper divisors (4601606922).

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

2509057782 is a wasteful number, since it uses less digits than its factorization.

2509057782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 2509057782 is about 50090.4959248758. The cubic root of 2509057782 is about 1358.8459395846.

The spelling of 2509057782 in words is "two billion, five hundred nine million, fifty-seven thousand, seven hundred eighty-two".