2261165400 has 288 divisors, whose sum is σ = 8299156320. Its totient is φ = 548352000.

The previous prime is 2261165371. The next prime is 2261165429. The reversal of 2261165400 is 45611622.

2261165400 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 1 + 654 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2261165371) and next prime (2261165429).

It is a super-2 number, since 2×2261165400² = 10225737932314320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1660720 + ... + 1662080.

It is an arithmetic number, because the mean of its divisors is an integer number (28816515).

Almost surely, 2^2261165400 is an apocalyptic number.

2261165400 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 2261165400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149578160).

2261165400 is an abundant number, since it is smaller than the sum of its proper divisors (6037990920).

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

2261165400 is a wasteful number, since it uses less digits than its factorization.

2261165400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2261165400 is about 47551.7129029018. The cubic root of 2261165400 is about 1312.5346494254.

The spelling of 2261165400 in words is "two billion, two hundred sixty-one million, one hundred sixty-five thousand, four hundred".