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2902740480 = 29325177411
BaseRepresentation
bin1010110100000100…
…0100111000000000
321111022000111100200
42231001010320000
521421100143410
61200011445200
7131634613143
oct25501047000
97438014320
102902740480
11125a580982
12690156800
133734c0223
141d772a05a
1511ec813c0
hexad044e00

2902740480 has 240 divisors, whose sum is σ = 10645796304. Its totient is φ = 728432640.

The previous prime is 2902740473. The next prime is 2902740487. The reversal of 2902740480 is 840472092.

It is an interprime number because it is at equal distance from previous prime (2902740473) and next prime (2902740487).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2902740487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387975 + ... + 395385.

Almost surely, 22902740480 is an apocalyptic number.

2902740480 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 2902740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322898152).

2902740480 is an abundant number, since it is smaller than the sum of its proper divisors (7743055824).

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

2902740480 is a wasteful number, since it uses less digits than its factorization.

2902740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7457 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2902740480 is about 53877.0867809313. The cubic root of 2902740480 is about 1426.4922060327.

The spelling of 2902740480 in words is "two billion, nine hundred two million, seven hundred forty thousand, four hundred eighty".