2803958640 has 320 divisors, whose sum is σ = 11249280000. Its totient is φ = 628632576.

The previous prime is 2803958639. The next prime is 2803958653. The reversal of 2803958640 is 468593082.

2803958640 is a `hidden beast` number, since 28 + 0 + 3 + 9 + 586 + 40 = 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 63 ways as a sum of consecutive naturals, for example, 799611 + ... + 803109.

It is an arithmetic number, because the mean of its divisors is an integer number (35154000).

Almost surely, 2^2803958640 is an apocalyptic number.

2803958640 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 2803958640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640000).

2803958640 is an abundant number, since it is smaller than the sum of its proper divisors (8445321360).

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

2803958640 is a wasteful number, since it uses less digits than its factorization.

2803958640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2803958640 is about 52952.4186416447. The cubic root of 2803958640 is about 1410.1236650250.

The spelling of 2803958640 in words is "two billion, eight hundred three million, nine hundred fifty-eight thousand, six hundred forty".