2902268880 has 400 divisors, whose sum is σ = 11645504640. Its totient is φ = 656169984.

The previous prime is 2902268857. The next prime is 2902268881. The reversal of 2902268880 is 888622092.

It is a super-3 number, since 3×2902268880³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2902268881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4943947 + ... + 4944533.

Almost surely, 2^2902268880 is an apocalyptic number.

2902268880 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 2902268880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822752320).

2902268880 is an abundant number, since it is smaller than the sum of its proper divisors (8743235760).

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

2902268880 is a wasteful number, since it uses less digits than its factorization.

2902268880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2902268880 is about 53872.7099745316. The cubic root of 2902268880 is about 1426.4149491365.

The spelling of 2902268880 in words is "two billion, nine hundred two million, two hundred sixty-eight thousand, eight hundred eighty".