2802417552 has 120 divisors (see below), whose sum is σ = 8851040640. Its totient is φ = 819920640.

The previous prime is 2802417539. The next prime is 2802417571. The reversal of 2802417552 is 2557142082.

It is a happy number.

2802417552 is a `hidden beast` number, since 2 + 80 + 24 + 1 + 7 + 552 = 666.

2802417552 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15433 + ... + 76439.

It is an arithmetic number, because the mean of its divisors is an integer number (73758672).

Almost surely, 2^2802417552 is an apocalyptic number.

2802417552 is a gapful number since it is divisible by the number (22) 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 2802417552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425520320).

2802417552 is an abundant number, since it is smaller than the sum of its proper divisors (6048623088).

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

2802417552 is a wasteful number, since it uses less digits than its factorization.

2802417552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61061 (or 61052 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2802417552 is about 52937.8650117286. The cubic root of 2802417552 is about 1409.8652776063.

The spelling of 2802417552 in words is "two billion, eight hundred two million, four hundred seventeen thousand, five hundred fifty-two".